Podcast
Questions and Answers
What value of 'k' makes the equations 2x + 3y = 7 and kx + 9/2y = 12 inconsistent?
What value of 'k' makes the equations 2x + 3y = 7 and kx + 9/2y = 12 inconsistent?
For the quadratic polynomial ax^2 + bx + c = 0 to have reciprocal zeroes, which relation must hold?
For the quadratic polynomial ax^2 + bx + c = 0 to have reciprocal zeroes, which relation must hold?
Which expression correctly represents the discriminant of the quadratic equation bx^2 + ax + c = 0?
Which expression correctly represents the discriminant of the quadratic equation bx^2 + ax + c = 0?
The values of 'a' and 'c' such that the numbers a, 7, b, 23, c are in arithmetic progression are:
The values of 'a' and 'c' such that the numbers a, 7, b, 23, c are in arithmetic progression are:
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What is the radius of a circle defined by endpoints of a diameter at (2, 4) and (-3, -1)?
What is the radius of a circle defined by endpoints of a diameter at (2, 4) and (-3, -1)?
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What is the area of a sector of angle p in degrees for a circle with radius R?
What is the area of a sector of angle p in degrees for a circle with radius R?
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If 4 tan θ = 3, what is the value of rac{4 ext{sin}θ - ext{cos}θ}{4 ext{sin}θ + ext{cos}θ}?
If 4 tan θ = 3, what is the value of rac{4 ext{sin}θ - ext{cos}θ}{4 ext{sin}θ + ext{cos}θ}?
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In a right triangle ABC where AB = 5 cm and ∠ACB = 30°, what is the length of side BC?
In a right triangle ABC where AB = 5 cm and ∠ACB = 30°, what is the length of side BC?
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Study Notes
Trigonometry and Geometry Problems
- Problem 1: If p = (a x 5), for p to end with the digit zero, 'a' must be an even number
- Problem 2: If 2x + 3y = 7, kx + 9/2y = 12 have no solution, then k = 3
- Problem 3: If zeroes of ax² + bx + c = 0 are reciprocals, then a = c
- Problem 4: The discriminant of bx² + ax + c = 0 (b ≠ 0) is √(b² - 4ac)
- Problem 5: If a, 7, b, 23, c are in AP, then a = -1, c = 31
- Problem 6: End points of a diameter are (2, 4) and (-3, -1). The radius is 5√2 / 2 units
- Problem 7: Points (-4, 0), (4, 0), (0, 3) form a right triangle
- Problem 8: Area of a sector (angle p, radius R) is (p x π x R²) / 360
- Problem 9: If 4 tan θ = 3, then (4 sin θ - cos θ) / (4 sin θ + cos θ) = 1/3
- Problem 10: In a right-angled triangle ABC at B, AB = 5 cm, ∠ACB = 30°, BC = 5√3 cm
- Problem 11: If sec A + tan A = x, then sec A = (x² - 1) / x
- Problem 12: APQR ~ AXYZ. XY = 4 cm, YZ = 4.5 cm, ZX = 6.5 cm, PQ = 8 cm. Perimeter of APQR is 25 cm
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Description
Test your understanding of key concepts in trigonometry and geometry with this collection of problems. Explore various aspects such as angles, areas, and the properties of triangles. Perfect for students looking to solidify their knowledge in these mathematical areas.
