2nd Year Mathematics Solved MCQs PDF - Youth Academy

WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES SHAHKOT WHATSAPP USAMA KHALID KAMBOH 0346-6116201 ‫...

WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES SHAHKOT WHATSAPP USAMA KHALID KAMBOH 0346-6116201 ‫ ڈ آن رى وا وا وا ادارہ‬ ‫ا‬ ‫ا رى‬ ONLINE ‫ا ت رى‬ 12TH MATH SOLVED MCQs FULL BOOK YOUTH EXAMS SUPPORT PROGRAM FOR ALL PUNJAB BOARDS BY USAMA KHALID KAMBOH CEO YOUTH ACADEMY SHAHKOT YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  12TH MATH GUESS 2022 Objective Type 1. Encircle the Correct Option. ‫۔‬ ‫د دا ہ‬ ‫اب‬ ‫ در‬.1 c) (2, -1) d) (-2, -1) a) b) c) d) a) 5x - y = 7 b) y = 7 - 5x c) 5x + y + 7 = 0 d) y = 5x - 7 a) b) c) d) a) b) c) d) a) b) c) d) b) Collinear  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) d) a) (x + r)2 + (y + r)2 = r2 b) (x - r)2 + (y - r)2 = r2 c) (x + r)2 - (y - r)2 = r2 d) (x - r)2 - (y - r)2 = r2 14) Two intercepts form of 2x - 4y + 11 = 0 is a) b) c) d) 15) If f (x) = |x| is a) b) c) d) 16) A function in which the variable appears as exponent is called: b) Rotational function 17) If y = tan2x, then = a) 2tanx sec2x b) tanx sec2x c) tan2x sec2x d) 2 tan x sec x x a) b) 3x c) 3x. ln 3 d) x3x-1 b) f (x, y) = 0 c) x = f (t), y = g (t) d) y = f (u), u = g (x) a) 2a b) -2a c) ± 2a d) a d) Origin a) 30o b) 60o c) 45o d) 90o 23) a) b) c) d) a) x + y > 2 b) x + y 1 c) 3x + 5y > 7 d) 3x + 7y > 3 YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) 2 d) -2 a) b) c) a) b) d) 1 a) x = -5 b) y = 3 c) 3x - 5y = 0 d) 5x + 3y = 0 2 2 2 -1 a) |x| < 1 b) |x| 1 c) |x| 1 d) |x| > 1 -1 b) -1 c) 1 d) 2 a) x b) c) d) x 35) The solution set of the inequality ax + by > c is: a) 1 b) 2 c) 4 d) 8 a) y b) x c) x/y d) xy d) Non-convex region YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES c) Both a and b y a 42) The length of the tangent from a point P(x1, y1) to the circle x2 + y2 + 2gx + 2 fy + c = 0 is a) b) c) d) x x a) b) c) d) a) y = e-x b) y = ce-x c) y = cex dx d) y = ex d) None a) b) c) d) 47) The fixed point from which all the points of circle are equidistant is called 48) The direction cosine of z - axis are a) [1, 0, 0] b) [0, 1, 0] c) [0, 0, 1] d) [1, 1, 1] 49) a) b) c) d) a) b) y = 0 c) d) x = 0 3 a) (x + 1)3 b) (x3 + 1) c) (x + 3) d) (x + 3)3 YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES then k = b) 2 c) 1 d) 4 d) Both b & c 2 a) b) c) d) a) 10 b) 3 c) d) b) 10 c) 2 d) 1 2 2 a) a b,h 0 b) a b, h = 0 c) a = b, h 0 d) a = b , h = 0 d) Minor axis a) R b) Q c) N d) W a) b) c) d) a) b) d) 1 1 2 a) m1 = m2 b) m1m2 = -1 c) m1m2 = 1 d) m1 m2 66) a) b) c) d) YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES d) Axes 68) a) b) c) d) a) b) c) d) o o 71) The point of intersection of right bisectors of the sides of a triangle is called 72) Associated equation of ax + by < c and ax + by > c is: b) ax + by = c c) ax + by < c d) ax + by + c = 0 a) (1, 4) b) (-4, 1) c) (4, 1) d) (-4, -1) a) b) c) d) d) All a) cos2 x sin x b) - sin2 x cos x c) sin2 x cos x d) - cos2 x sin x a) b) c) d) YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) d) a) 20 b) 9 c) 22 d) 1 a) R - {-3} b) R - {-1} c) R - {0} d) R - {1} a) x2 + y2 - 15x - 18y + b) x2 + y2 + 15x + 18y + c) x2 + y2 + 15x - 18y - 17 17 = 0 17 = 0 =0 2 2 a) b) c) d) a) b) c) d) both a & b 2 2 a) b) c) d) 2 2 2 2 2 3 d) Unequal 92) a) b) c) d) 2 2 a) 3x - 4y = 0 b) 4x - 3y = 0 c) 4x + 3y = 0 d) 3x + 4y = 0 YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES 94) (sinh x) = a) cosh x d) - sinh x 95) The centre of the circle (x-1)2 + (y + 3)2 = 32 is b) (-1, 3) c) (1, -3) d) (1, 3) a) None b) c) d) a) b) c) d) a) b) c) d) 2 a) 2 b) 4 c) 8 d) 100) Slope intercept from 4x + 7y - 2 = 0 is b) c) d) y = 4x + 2 a) 101) A function which is to be maximized is called: c) Both a and b d) Both a and b a) b) c) d) 1 1 a) b) c) d) a) (10, 4) c) (-14, 11) d) (2, 5) YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) d) a) 4x - y + 36 = 0 b) 4x + y - 36 = 0 c) 4x - 3y + 12 = 0 d) 2y - 3x = 5 a) b) c) d) zero a) b) c) d) 2 2 c) Abcissa of P 113) Each point of the feasible region is called a ______________ of the system of linear inequalities: 114) a) b) 10 c) zero d) 1 115) x = a sec , y = b tan represent the equation of ________________. 116) a) b) c) d) none a) b) c) d) 2 2 3 a) - 3 (t + 1) b) 3 (t - 1) c) -3 (t - 1) d) 3 (t + 1) 119) Vertex of the parabola y2 = 4x + 4y is at YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) (-1, 2) b) (1, 2) c) (1, -2) d) (-1, -2) 120) 121) The function = sin x is increasing in the interval a) b) c) d) 122) Which of the following quantity is vector 123) a) b) c) d) 124) a) b) c) d) 125) The point where parabola meets its axis is called d) Centre a) b) c) d) 1 2 a) b) c) d) 128) Volume and speed are examples of 129) A linear inequality concerning the problem from everyday life is named as: 130) The perpendicular bisector of any chord of a circle passes through the ___________ of the circle 131) a) b) c) d) YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) x = y b) x = -y c) x - y = 1 d) x + y = 1 a) b) c) d) 1 1 1 2 2 2 a) a1b2 + a1b2 0 b) a1b2 - a2b1 = 0 c) a1b2 - a2b1 = 0 d) a1b2 + a2b1 = 0 a) a = 0, b = 1 b) a = 1, b = 1 c) a = 1, b = 0 d) a 0, b = 0 137) The feasible solution which maximizes or minimizes the objective function is called: 2 2 a) Major arc a) b) c) d) a) b) c) 1 a) b) c) d) a) 1 b) 2 c) 3 d) 4 147) The non - negative constraints are called: YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) d) a) x + 2y < 6 b) x + 2y > 6 c) x - 2y > 6 d) 2x + y < 0 2 a) b) c) d) (log10 x) = a) b) c) d) b) 1 c) -1 2 2 2 a) b) c) d) a) b) c) d) a) y = 0 b) x = 0 c) y = a d) x = a a) 2.8 b) 2.7123 c) 2.718281 d) 2.7 158) Angle bisectors of a triangle are 159) A line perpendicular to the tangent at the point of tangency is called 160) a) b) c) d) ` (162 YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) [-2, 2] d) [-3, 3] a) b) c) 164) If f: then set X is called d) Co-domain a) 2 b) -1 c) 1 d) -2 166) (1, 0) is not the solution of inequality: a) 7x + 2y < 8 b) x - 3y < 0 c) 3x + 5y < 7 d) 3x + 5y < 5 167) A line that touches the curve at on point is called , then range of is a) b) c) d) 169) The centre of circle x2 + y2 + 12x - 10y = 0 a) (6, -5) b) (-6, -5) c) (-6, 5) d) (6, 5) 2 2 a) either a = 0 or b = 0 b) a > b c) a > 0, b < 0 d) Both a = 0, b = 0 a) b) x = 0 c) x = 1 d) x = 2 2 a) 2xdx b) (2x - 1) dx c) 2xdy d) (x2 - 1) dx a) 1, -2 b) 1, 2 c) -1, -2 d) 1 175) If the length of each edge of a changes from 5 to 5.02 then approximate increase in the volume is 176) ax + b = 0 is/an? 177) The point (-3, -3) lies in.. quadrant: YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) I b) II c) III d) IV 2 2 a) y = cos x + c st nd st th nd rd rd th 181) The midpoint of the line segment joining the points a) b) c) d) a) R = {-2, 2} b) R - {0} c) R - {4} d) R a) b) c) d) a) 2 : 1 b) 1 : 2 c) 1 : 3 d) 1 : 4 a) 45o b) 135o c) 90o d) 225o a) b) c) d) -1 -1 a) 1 b) zero c) x d) 1 1 a) ax1 + by1 + c > 0 b) ax1 + by1 + c < 0 c) ax1 + by1 + c = 0 d) ax1 + by1 + c 0 190) 2 sinh xcoshx = ____________ d) sinh x 191) The solution region of the inequalities x > 0, y. 0 is: YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) d) b) c) 1 d) -1 a) 1st quadrant b) 2nd quadrant c) 3rd quadrant d) 4th quadrant a) (x + h)2 + (y + k)2 = r2 b) (x - h)2 + (y - k)2 = r2 c) (x + h)2 - (y - k)2 = r2 d) (x - h)2 - (y - k)2 = r2 a) b) -1 c) 1 d) zero a) b) c) a) 7x + 2y > 3 b) x - 3y > 0 c) 3x + 5> 7 d) 3x + 5y < 7 200) The function f (x) = (x + 2)2 is _________________ 2 b) Opens down d) Open left c) Both (a) and (b) d) Alternating a) (2, -6) b) (-2, -6) c) (6, 2) d) (9, 3) 2 a) b) c) d) 206) If the centre of the circle is the origin then equation of circle is. YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) x2 - y2 = r2 b) x2 + y2 = r2 c) x2 + y2 = r d) y2 - x2 = r2 2 a) (0, 2) b) (2, 0) c) (0, 0) d) (2, 2) 209) The lines 4x - y + 2 = 0 and 12x - 3y + 1 = 0 are 210) A vector whose magnitude is unity is called 213) ax + b 0 is a/an : 3 2 a) -1 b) 1 c) 2 ~ (c d) 3 215) a) b) c) d) 216) Centre of circle x2 + y2 + 2gx + 2 fy + c = 0 a) b) c) d) a) b) c) d) a) b) c) d) d) -1 a) y2 - xy - 6x2 = 0 b) 6y2 - xy - x2 = 0 c) x2 + xy + 6y2 = 0 d) 6x2 + xy + y2 = 0 YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) b) c) d) 222) The line joining the centre of a circle to the midpoint of a chord is _____________ to the chord 223) Equation of the line passing through (-8, 5) having slope undefined is a) 8y + 5x = 0 b) x = -8 c) y = 5 d) 8x = 5y = 12 224) a) b) c) d) 225) A function f is said to be even if a) b) c) d) 226) To find the optimal solution we evaluate the objective function at: 227) a) b) c) d) c) -sinhx d) sechx 229) The shortest distance between the lines 12x + 5y - 6 = 0 and 12x + 5y + 12 = 0 is a) b) c) d) 230) x = 5 is the solution of inequality: a) 2x - 3 > 0 b) 2x + 3 < 0 c) x + 4 < 0 d) x + 2 < 0 231) Eccentricity of the ellipse is a) b) c) d) 232) The point at which the line cuts x = axis is called 233) The value of [k i j] is b) -1 c) 1 d) 2 234) If y = sin 2x, then = YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES a) 2cos2x b) -2sin2x c) cos2x d) -2 cos 2x a) 2 b) 1 c) 4 d) 10 d) Both b & c a) b) c) d) a a) x2 + y2 + 2gx + 2 fy + b) x2 + y2 - 2gx - 2 fy + c = c) x2 + y2 + 2gx + 2 fy - c= d) x2 + y2 + 2gx + 2 fy = 0 c= 0 0 0 242) a) b) c) d) All 2 a) b) c) d) 1 1 a) b) c) d) a) b) c) d) YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES d) Set of real numbers 248) The procedure for determining the optimal solution for a problem involving linear constraint is called: 249) If y is easily expressed in terms of x, then y is ____________ of x 250) a) sin-1 x + c b) - sin1- x+c c) - cos-1 x + c d) cos-1 x + c 253) a) b) c) d) zero a) (1, 0) b) (-1, 1) c) (-1, 0) d) (0, -1) 2 a) b) c) R d) (0, 1] 256) If y = sinh-1x, then = a) b) c) d) ax 258) a) b) c) d) 259) Eccentricity of hyperbola a) b) c) d) 260) If y = e2x then y4 = ? a) 16 e2x b) 8e2x c) 4e2x d) 2ex YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES 261) a) etan x +c b) e-tan x +c c) ecot x +c d) e-cot x +c 262) b) -3 c) 3 d) 10 263) The value of is a) -9 b) 24 c) 9 d) -24 264) The system of linear inequalities involved in the problem concerned are called: 2 2 2 2 2 d) none 2 a) 4 b) 3 c) 2 d) 5 YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES JOIN WHATSAPP GROUP FOR GUESS PAPERS 0346-6116201 YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  YOUTH ACADEMY YOUTH ACADEMY WhatsApp 0342-1016201 , 0347-2782177 By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES AND COACHING CENTER SHAHKOT BY USAMA KHALID KAMBOH 0346-6116201 0305-6116844 10TH PAPER PAIRING SCHEME 2023 ‫ زاور ا ب وزٹ‬ USAMA KHALID KAMBOH STUDY CONSULTANT CEO YOUTH ACADEMY 0346-6116201 0305-6116844 ‫ م ا را‬ ‫[ا ڈ وا ا‬100000] ‫ ا ڈ‬2022 ‫ا ن وا ادارہ‬ ‫ اور ب ذر ڈ ا‬ 🔰🔰 PAIRING SCHEME 🔰🔰 GUESS PAPERS 🔰🔰 IMPORTANT LONG 🔰🔰 IMPORTANT SHORT 🔰🔰 SOLVED MCQs 🔰🔰 TEST SERIES 🔰🔰 FULL BOOK TEST 🔰🔰 PAST PAPERS 🔰🔰 STUDY PLANS ‫د ر اور ر ڈ ا‬، ‫ روں‬ ‫شئ‬ ‫ زا ڈىا ى‬200 ‫ ل ب م رڈز ڈ ىآف‬ ‫ ر‬ ‫و زاپ ڈ اروںا ڈ ر‬140 ‫ا روا ارر اب‬ ‫ ہ ا رى رىآن ا ب را ل و رےاس را‬2 ‫ ل ز‬ 0346-6116201 USAMA KHALID KAMBOH 0305-6116844 ‫ا ڈ آن رى وا وا وا ادارہ‬ YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH  WhatsApp 0342-1016201 , 0347-2782177 YOUTH ACADEMY By Usama Khalid Kamboh GUESS PAPERS,NOTES,TEST SERIES JOIN YOUTH WHATSAPP GROUPS FOR GUESS PAPERS AND EXAMS DATA CONTACT US USAMA KHALID KAMBOH CEO: YOUTH ACADEMY 0346-6116201 ‫ را‬ YOUTUBE CHANNEL PAID SERVICE 9TH,10TH,11TH,12TH