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Q36 A group of students conducted a survey to find out about the preferred mode of transportat

Q35(B) As observed from the top of a 75 m high lighthouse from the sea level, the angles of depress

Q35(A) From the top of a 9 m high building, the angle of elevation of the top of a cable tower is

Q34 The perimeter of sector OACB of the circle centred at O and of radius 24, is 73.12 cm.

Q33 If a line is drawn parallel to one side of a triangle to intersect the other two sides in di

Q32(B) A train travels at a certain average speed for a distance of 132 km and then travels a dist

Q32(A) Amita buys some books for ₹1920. If she had bought 4 more books for the same amount e

Q31The sum of a two-digit number and the number obtained by reversing the order of its digits is 9

Q30 (B) prove that the lengths of tangents drawn from an external point to a circle are equal.

Q30(A) n the given figure, PA and PB are tangents to a circle centred at O. Prove that (i) OP bisect

Q29 Find the mean using the step deviation method. Class 0-10 10-20 20-30 30-40 40-50 Frequency 6

Q28 Prove that: (𝑐𝑜𝑠𝑒𝑐𝐴 − 𝑠𝑖𝑛𝐴)(𝑠𝑒𝑐𝐴 − 𝑐𝑜𝑠𝐴) = 1 tan𝐴+cot𝐴 .

Q27(B) Line 4𝑥 + 𝑦 = 4 divides the line segment joining the points (−2, −1) and (3,5) in a certa

Q27(A) Find the ratio in which the y-axis divides the line segment joining the points (4, −5) and

Q26 Prove that√5 is an irrational number

Q25 Calculate mode of the following distribution: Class 5-10 10-15 15-20 20-25 25-30 30-35 Fre

Q24 If 𝑠𝑖𝑛(𝐴 − 𝐵) = 1 2 𝑎𝑛𝑑 𝑐𝑜𝑠(𝐴 + 𝐵) = 1 2 , 0 ∘ 𝐴 + 𝐵 90∘ 𝑎𝑛𝑑 𝐴 𝐵, then find

Q23(B) The sum of first 𝑛 terms of an A.P. is represented by 𝑆𝑛 = 6𝑛 − 𝑛 2 . Find th

Q23(A) The sum of the first 12 terms of an A.P. is 900. If its first term is 20 then find the commo

Q22 In two concentric circles, a chord of length 8 cm of the larger circle touches the smaller cir

Q21 (B) In the given figure, 𝛥𝐴𝐵𝐶 is an equilateral triangle. Coordinates of vertices A an

Q21(A) 𝑃(𝑥, 𝑦) is a point equidistant from the points 𝐴(4,3) and 𝐵(3,4). Prove that 𝑥 − 𝑦 = 0.

Q20 Assertion(A): (2 + √3)√3 is an irrational number. Reason(R): Product of two irrational numbers

Q19 Assertion(A): The sequence −1, −1 − 1, . . . , −1 is an AP. Reason(R): In an AP, 𝑎𝑛 − 𝑎𝑛−1 i