Question # 1

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 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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Which one is quadrantal angle

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8181710°

2345°

-8181180°

-2344°

The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

w^-1= ______

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0

1

w

w²

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A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

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1

2

3

None of these

The central angle of an arc of a circle whose length is equal to the radius of the circle is called the

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degree

radian

minute

second

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all

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

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quadrant I

quadrant II

quadrant III

quadrant IV

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

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0

1

2

4

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

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If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a

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Circle

Hyperbola

Ellipse

Parabola

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

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5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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I3

rI3

r

none

The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

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