Question # 1

The corner point of the boundary lines, x-2y

2x + y = 2 is:

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(2,6)

(6,2)

(-2,2)

(2,-2)

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

A square matrix A = [aij] is lower triangular matrix when

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aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

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

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radius of the circle

secant of the circle

chord of the circle

diameter of the circle

The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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The general term of the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

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2x

2

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Any horizontal line divided the plane into

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Left half plane

Upper and lower half planes

Infinite number of horizontal liens

None of these

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Rational fraction

Proper fraction

Improper rational fraction

None of these

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

Domain of sin x is ______

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A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

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The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

If distance of (a,b) from origin is 5 then

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a²+ b²=5

a = 5

b = 5

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additive property

multiplicative property

additive inverse

additive identity

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

The range of y = sin x is ______

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[1, -1]

[-1, 1]

[0, -1]

[-∞+∞]

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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The vertices of the ellipse x²+ 4y²= 16 are

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In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

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