Question

SECTION B
35 For which values of p does the pair of equations given below has unique
Solution ? 4x + py + 8 = 0: 2x + 2y + 2 = 0
2.
36 Find the roots of the equation 5x2 - 6x - 2 = 0 by quadratic formula method .
2
37 Find the 9th term from the last term of the AP: 10, 7, 4,
-,-71.
2
38 Find the coordinates of the point which divides the join of (-1, -7) and (6,-3) 2
in the ratio 2:3.
SECTIONC
39 Prove that 3 + 2 V5 is irrational
3
40 Find a relation between x and y such that the point (x, y) is equidistant
from the points (7, 1) and (3, 5).
3
41 Explain why 7 * 11 * 13 + 13 and 7 * 6* 5 * 4 * 3 * 2 * 1 + 5 are composite 3
numbers
3
42 Find the zeroes of the polynomial xl-3 and verify the relationship between
the zeroes and the coefficients.​

Answer 1

Answer:

Given equation:-

4x+py+8=0

a1=4,b1=p,c1=8

2x+2y+2=0

a2=2,b2=2,c2=2

Since the given pair of equation hs unique solution.

Therefore,

a2a1=b2b1

24=2p

⇒p=4

Hence the given pair of equation has unique solution for all values of p except 4.

Answer 2

Answer:

35 For which values of p does the pair of equations given below has unique

Solution ? 4x + py + 8 = 0: 2x + 2y + 2 = 0

2.

36 Find the roots of the equation 5x2 - 6x - 2 = 0 by quadratic formula method .

2

37 Find the 9th term from the last term of the AP: 10, 7, 4,

-,-71.

2

38 Find the coordinates of the point which divides the join of (-1, -7) and (6,-3) 2

in the ratio 2:3.

SECTIONC

39 Prove that 3 + 2 V5 is irrational

3

40 Find a relation between x and y such that the point (x, y) is equidistant

from the points (7, 1) and (3, 5).

3

41 Explain why 7 * 11 * 13 + 13 and 7 * 6* 5 * 4 * 3 * 2 * 1 + 5 are composite 3

numbers

3

42 Find the zeroes of the polynomial xl-3 and verify the relationship between

the zeroes and the coefficients.