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)

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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If sin x + sin²x = 1, then the value of Cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x + 2 cos⁴x + cos²x-2 is equal to

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0

1

2

sin²x

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 exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

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The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

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

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

If -1 < x < 0, which of the following statements must be true?

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x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

If x⁴- 10x²- 2x + 4 is divided by x + 3, then the reminder is

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1

0

4

None of these

Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

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none of these

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An empty set

Universal set

A singleton set

None of these

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

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Zero

one

negative constant

Non negative constant

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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The decimal fraction in which we have finite number of digits in its decimal part is called.

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recurring decimal fraction

Non terminating faction

Non recurring fraction

terminating decimal fraction

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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Rational

Irrational

Even

Odd

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are

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If you are looking a high point from the ground, then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

The slope of y-axis is

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0

undefined

1

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

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