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1. Two positive integers a and b can be written as a = x3y2 and b = xy3. x, y are prime numbers. Find LCM (a, b).
2. How many two digits numbers are divisible by 3?
3. In Fig. 1, DE||BC, AD = 1 cm and BD = 2 cm.
CBSE MATHS PAPER 2019
What is the ratio of the ar(Δ ABC) to the ar(ΔADE)?
4. Find the coordinates of a pont A, where AB is the diameter of a circle whose centre is (2, –3) and B is the point (1, 4).
5. For what values of k, the roots of the equation x2 + 4x + k = 0 are real?
OR
Find the value of k for which the roots of the equation 3x2 – 10x + k = 0 are reciprocal of each other.
6. Find A if tan 2A = cot (A – 24o)
OR
Find the value of (sin2 33o + sin2 57o)
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