Question # 1

Period of cosec x is ______

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square root function

identity function

linear function

quadratic function

If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is

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If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

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Derivative of x³w.r.t x is

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0

1

3x²

x³

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is

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8

12

10

14

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If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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6

20

0

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

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x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

The sum if 1,3,5,7,9........ up to 20 terms is

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400

472

563

264

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if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

Two positive integers whose sum is 30 and their product will be maximum are

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12,18

10,20

15,15

14,16

Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

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[0, 1]

[-1, 1]

[1, 3]

None of these

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0

1

The distance between the points (0,0) and (x,y) is

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x²+ y²

x

y

The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

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0

1

2

3

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