Question # 1

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

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Linear equation

Quadratic equation

Cubic equation

None of these

The value of i⁴ⁿ⁺¹

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1

-1

i

i²

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

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Straight line

Circle

Hyperbola

Symmetric w.r.t.0

An improper rational fraction can be reduced by division to a

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Proper fraction

Polynomial

mixed form

If the st. line 3x + 4y = K touches the circle x²+ y²- 10x = 0 then the value of K is

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-1 or 20

-10 or 40

-2 or 20

2 or 20

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If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

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none of these

w²⁸+ w³⁸= ______

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0

1

w

-1

The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 2

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The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

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additive property

multiplicative property

additive identity

multiplicative identity

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

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45

30

25

50

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The range of the tangent function is

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all real numbers

-1 ≤ x ≥ 1

natural number

z⁺

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

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The line through the focus and perpendicular to the directrix is called ______ of the parabola

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axis

focal chord

tangent

latus rectum

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none of these

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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