Question # 1

If the circle x²+ y²+ 2gx +2fy + c = 0 passes through the origin then

Choose an answer

c = 0

c = -1

c = -2

c = 1

If in a set of real no a is additive identity then

Choose an answer

a+a = 2a

a+a = 1

a+a = 0

None of these

If p and q are two statements then their biconditional 'p if q' is denoted by

Choose an answer

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

Choose an answer

120°

30°

130°

45°

Choose an answer

none of these

(x3-1/x)12

Choose an answer

295

495

395

722

Any horizontal line divided the plane into

Choose an answer

Left half plane

Upper and lower half planes

Infinite number of horizontal liens

None of these

Every recurring decimal represents

Choose an answer

A natural number

A rational number

An irrational number

A whole number

The 6th term of the sequence 7,9,12,16......is

Choose an answer

27

32

20

19

A relation in which the equality is true only for some values of the known is called ______

Choose an answer

An identity

An equation

A polynomial

None of these

If n is any positive integer then n! > n²for

Choose an answer

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

Choose an answer

(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

Choose an answer

Zero

one

negative constant

Non negative constant

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

Choose an answer

8

-16

-64

16

f(x) = 2^x+ 3 . 2^2x+ 5 is

Choose an answer

trigonometric function

algebraic function

exponential function

logarithmic function

The constant distance of all points of the circle from its centre is called the

Choose an answer

radius of the circle

secant of the circle

chord of the circle

diameter of the circle

The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

Choose an answer

18

6

3

0

A sequence is a function whose domain is

Choose an answer

N

Subset of N

R

None of these

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is