Question

1. (a) What is the product of a non-zero rational and irrational number?

(OR)

(b) If two positive integers ‘a’ and ‘b’ are written as

3 2

a x y =

and

3 b xy =

; where x and y are prime numbers,

then find HCF of ‘a’ and ‘b’.

2. Find the LCM of smallest two digit composite number and smallest single digit composite number.

3. AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). What is the length of its diagonal?

4. If

( )

0

tan x3 30 1 + =

, then find the value of ‘x’.

5(a). If

2

k A A A + = + − 1 sec (1 sin )(1 sin )

, then find the value of ‘k’.

(OR)

(b). If

sin cos   =

, then find the value of

2 2tan cos   + .

6. If the angle between two tangents drawn from an external point ‘P’ to a circle if radius ‘r’ and centre at O is

600

, then find the length of OP.

7(a). Two concentric circles of radii ‘a’ and ‘b’ (a > b) are given. Find the length of the chord of the larger circle

which touches the smaller circle.

(OR)

(b). From an external point P, tangents PA and PB are drawn to a circle with centre O. if

0  = PAB 50

, then

find

AOB.​

Answer 1

Answer:

product is 600 and LCM is 700