Question # 1

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0

U

u/2

log u

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

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1,2

-1,-2

2,-1

-2,1

The root of the quadratic equation are

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3

2

1

4

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 towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

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12^𝜊

9^𝜊

7^𝜊

-120^𝜊

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The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

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

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

sin(a-90°)=______;

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sina

cosa

-sinθ

-cosa

If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

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Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

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3x + 4 > 0 is

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equation

identity

inequality

none of these

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1

2

0

4

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0

1

2

1/2

The vertex of the standard position angles lies on

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(0,0)

(0,1)

(1,0)

(1,1)

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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24 can be written as a product of

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Odd factors

Even factors

Whole factors

Prime factors

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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Cos 0° = ______

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-1

0

1

Undefined

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none of these

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