Question # 1

In right angled triangle, there can be ___ right angles:

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1

2

3

4

Median of a triangle divide it into _____ triangle of equal area:

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1

2

3

4

∀ a∈ R⇒ a + o = a = o + a, then O is called:

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Multiplicative identity

Additive identity

Additive inverse

Multiplicative inverse

Factors of 3x-3a + xy - ay are:

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(y+3)(x-a)

(y+3)(x+a)

(3+y)(x-a)

(3-y)(a-x)

The point of concurrency of the three altitudes of a triangle is called:

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Centroid

Orthocenter

Circumcentre

Incentre

__________ points determine a line:

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2

3

4

5

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3

1/3

35

None of these

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9

-6

6

-9

Factorize 3x²-75y²

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(x+3)(x+75y)

3(x+25y)(x-25y)

3(x-25y)(x-25y)

3(x+5y)(x-5y)

The right bisectors of the three sides of n triangle are________:

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Congruent

Collinear

Concurrent

Parallel

Find m so that 9a²-12ab + m is a complete square :

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-16b²

16b²

-4b²

4b²

The number of elements in power set {1,2,3}:

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4

6

8

9

In a : b : : b : c, b is called:

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Meanproportional

Thirdproportional

Continuedproportional

Fourthproportional

A fraction with degree of numerator less than degree of denominator:

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Equation

Improper

Identify

Proper

The geometric mean of the a observations 2,4,8, is:

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2

8

4

no geometric mean

1/sinθ = ...............

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Cosθ

Secθ

Co secθ

Cotθ

Product of cube roots of unity is:

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0

1

-1

3

Sin(-350°) lies in _____________.

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1st quadrant

2nd quadrant

3rd quadrant

4th quadrant

The standard deviation is 6 then its variance is...........

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√6

36

3

6

In a circle, the tangents drawn at the ends of a chord make equal _with that chord

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square

angle

cube

circle

All the radii of a circle are equal in:

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Segment

Measure

Length

Portion

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Proper fraction

Rational fraction

Improper fraction

Irrational fraction

A compound statement of the form "if p then q" is called an:

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tautology

conditional

consequent

absurdity

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In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

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none of these

The period of sec 2x is:

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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3 ?

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none of these

The range of y = cos^-1 x function is:

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p is false and q is true

both p and q are false

p is true and q is false

both p and q are true

In binomial expansion (a+b)ⁿ, n is positive integer the sum of coefficients equals:

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none of these

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1 + cos Θ

1 - cos Θ

The domain of principal tangent function is:

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The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

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0

1

2

4

y - y1 = m ( x - x1) is the equation of straight line in:

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Slope-intercept from

Point-slope from

Normal form

Intercepts form

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

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The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3