Question # 1

Choose an answer

-1

0

2

1

The parabolay2=4ax open up if

Choose an answer

a<0

a≠0

a>0

All are incorrect

If A and B are two sets then intersection of A and B is denoted by

Choose an answer

(a + b)c = ac + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b +c) = ab + ac

tan^-1x > cot^-1x holds for

Choose an answer

x > 1

x < 1

x = 1

All values of x

Choose an answer

The roots of the equation x2 +6x-7=0,are

Choose an answer

1

2

1 and -7

-7

√-1 b=

Choose an answer

b

2

2b

None of these

Period of Cotangent function is

Choose an answer

π

-π

0

-2π

Choose an answer

none of these

The domain of the principal tan function is

Choose an answer

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

Choose an answer

40 m

30 m

20 m

60 m

Choose an answer

1

2

3/2

5/2

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

Choose an answer

50 cm/sec

60 cm/sec

61 cm/sec

None of these

If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a

Choose an answer

Circle

Hyperbola

Ellipse

Parabola

Choose an answer

The minimum value of the quadratic function f(x) = 5 x 2-11,is

Choose an answer

7

-7

6

-11

Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

Choose an answer

(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

The number of the diagonals of a 6 sided figure is

Choose an answer

15

21

9

6

Choose an answer

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

Choose an answer

3/4

1/4

1

None of these

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

Choose an answer

Addition

Multiplication

Division

Both addition and multiplication

Choose an answer

3 sec²x

3 sec²3x

sec²3x

sec²x

The 26th term of the A.P -2,-4,10,.............is

Choose an answer

136

-136

148

-148

x =r cosθ,y= sinθ are the parametric equations of

Choose an answer

Circle

Ellipse

Parabola

Hyoerbola

If A = {2m/m³= 8 , m€ Z} then A =

Choose an answer

{1,8,27}

{4}

(2,4,6}

{2,16,54}

Choose an answer

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