2024 Math paper with solutions Section B | #cbseboardexams2024

Q21. The king, queen and ace of clubs and diamonds are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is randomly drawn from the remaining cards. Find the probability of getting
(i) a card of clubs.
(ii) a red colored card.

Q22(a). If two tangents inclined at an angle of 60  are drawn to a circle of radius 3 cm, then find the length of each tangent.

Q22(b). Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

Q23(a). Find the ratio in which the point P(-4, 6) divides the line segment joining the points A(-6, 10) and B(3, -8).

Q23(b). Prove that the points (3,0), (6,4) and (-1,3) are the vertices of an isosceles triangle.

Q24. If α and β are zeroes of the polynomial p(x) = 5x - 6x + 1, then find the value of α + β + αβ.

Q25. Evaluate 2tan30.sec60.tan45/1-sin260

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