Let A = {-2, -1, 0, 1, 2} and f : A ⟶ Z be given by f(x) = x²- 2x - 3 then preimage of 5 is ___________

(a)

-2

(b)

-1

(c)

0

(d)

1

If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

(a)

\(\sqrt { { k }^{ 2 }-4c } \)

(b)

\(\sqrt { { 4k }^{ 2 }-c } \)

(c)

\(\sqrt { 4c-{ k }^{ 2 } } \)

(d)

\(\sqrt { k-8c } \)

Zero of the polynomial p(x) = x² - 4x + 4

(a)

1

(b)

2

(c)

-2

(d)

-1

In a triangle ABC, sin²A + sin²B + sin²C = 2, then the triangle is

(a)

equilateral triangle

(b)

isosceles triangle

(c)

right triangle

(d)

scalene triangle

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

(a)

45

(b)

40

(c)

39

(d)

38

Find the angle between the lines 3x²- 10xy - 3y² = 0 ______________

(a)

90°

(b)

45°

(c)

60°

(d)

30°

The value \(\lambda\) for which the equation 12x²- 10xy + 2y²+11x-5y+\(\lambda\) = 0 represent a pair of straight lines is ______________

(a)

\(\lambda\) = 1

(b)

\(\lambda\) = 2

(c)

\(\lambda\) = 3

(d)

\(\lambda\) = 0

|adj A| =_________ where A is a square matrix of order

(a)

|A|

(b)

|A|²

(c)

|A|³

(d)

I

The vector in the direction of the vector\(\hat{i}-2\hat{j}+2\hat{k}\) that has magnitude 9 is _________ .

(a)

\(\hat{i}-2\hat{j}+2\hat{k}\)

(b)

\(\frac { \hat { i } -2\hat { j } +2\hat { k } }{ 3 } \)

(c)

3(\(\hat{i}-2\hat{j}+2\hat{k}\))

(d)

9(\(\hat{i}-2\hat{j}+2\hat{k}\))

Find the odd one out of the following

(a)

|x|

(b)

sin x

(c)

cos x

(d)

\(\frac{1}{x}\)