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0:08:22

Q.6. If the points (𝒙𝟏, 𝒚𝟏 ), (𝒙𝟐, 𝒚𝟐 ) and (𝒙𝟏 + 𝒙𝟐, 𝒚𝟏 + 𝒚𝟐 )are collinear, then 𝒙𝟏𝒚𝟐 is equal to

0:05:23

Q.5. The value of ' ' n , such that the differential equation 𝒙 𝒏 𝒅𝒚 𝒅𝒙 = 𝒚(𝒍𝒐𝒈𝒚 − 𝒍𝒐𝒈𝒙 + 𝟏); (𝐰𝐡𝐞𝐫

0:02:09

Q.4. If A and B are non-singular matrices of same order with 𝒅𝒆𝒕(𝑨) = 𝟓, then 𝒅𝒆𝒕(𝑩 −𝟏𝑨𝑩) q

0:13:01

Q.3. The interval in which the function f defined by 𝑓(𝑥) = 𝑒 𝑥 is strictly increasing, is (A)[1, ∞)

0:04:39

Q.2. Assume X Y Z W , , , and P are matrices of order 2 , 3 , 2 , 3     n k p n an

0:05:03

Q.1. If for a square matrix A, 𝑨. (𝒂𝒅𝒋𝑨) = [ 𝟐𝟎𝟐𝟓 𝟎 𝟎 𝟎 𝟐𝟎𝟐𝟓 𝟎 𝟎 𝟎 𝟐𝟎𝟐𝟓 ], then the value of A

0:13:40

Q38 Rinku was very happy to receive a fancy jumbo pencil from his best friend Rohan on his birthda

0:14:29

Q37 Radha, an aspiring landscape designer, is tasked with creating a visually captivating pool de

0:09:01

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

0:08:18

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

0:08:18

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

0:11:59

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

0:11:10

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

0:09:24

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

0:06:03

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

0:04:50

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

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

0:09:15

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

0:06:56

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

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

0:06:44

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

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

0:06:10

Q26 Prove that√5 is an irrational number

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