Basic Maths DPP 02 (Of Lec 03) Prayas JEE 2.0 2025.pdf

JEE Prayas JEE 2.0 2025...

JEE Prayas JEE 2.0 2025 Maths DPP: 2 Basic Maths Q1 Find relation between x, y and z if Q6 If a + b = 7 and ab = 12 then what is the value of 2 2 x + 9y + 25z 2 = xyz ( 15 x + 5 y + z) 3 a2 – ab – b2? (A) 12 (B) 13 (A) x = 3y = 5z (C) 14 (D) –5 (B) x = 2y = 3z (C) x = −3y = 5z Q7 If x2 + 12 = 51 , then what is the value of x (D) x = −3y = −5z x3 − 1 x3 −− −− (A) 364 (B) 365 Q2 If A = (4 + √15 )1/3 + (4 − √15 )1/3 , the A3 − 3A is equal to (C) 756 (D) 367 Q3 The least value of expression Q8 If a + b + c = 12 and a2 + b2 + c2 =50, find the x2 + 4y 2 + 9z 2 − 2x+ 8y + 27z + 15 value of ab + bc + ca. (A) 15 (A) 44 (B) 45 (B) 5 (C) 46 (D) 47 (C) − 31 7 Q9 If (x + y + z) = 1, xy + yz + zx = –1, xyz = –1 then (D) − 41 4 value of x3 + y3 + z3 is – −− −− – – (A) –1 (B) 1 Q4 The value of (√4 − √10 + √25 )(√2 + √5 ) 3 3 3 3 3 (C) 2 (D) –2 is equal to. Q10 The expansion of (x + y – z)2 is (A) x2 + y2 + z2 + 2xy + 2yz + 2zx Q5 If x + x1 = 2, then prove that (B) x2 + y2 – z2 – 2xy + yz + 2zx 1 1 1 (C) x2 + y2 + z2 + 2xy – 2yz – 2zx x2 + = x 4 + = x 6 + x2 x4 x6 (D) x2 + y2 – z2 + 2xy – 2yz – 2zx Android App | iOS App | PW Website  JEE Answer Key Q1 (A) Q6 (D) Q2 (A) Q7 (A) Q3 (D) Q8 (D) Q4 7 Q9 (B) Q5 Proof Q10 (C) Android App | iOS App | PW Website