Question # 1

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4x + 1

4x

2x³

none of these

If p and q are two statements then their biconditional 'p if q' is denoted by

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The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

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60𝜊

40𝜊

41𝜊

30𝜊

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

The direction cosines of a line equally inclined with co-ordinate axes are

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all

∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

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In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

i =

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√1

√2

√-2

√-1

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

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0

1

1/2

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

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30^ο

35^ο

45^ο

60^ο

The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

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Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

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If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

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none of these

The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if

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c =±√2

c =0

c=±√17

c=±√15

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0

-1

1

1/2

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

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y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

If a,b = 0 then

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a |b

a||b

a = b

None

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π / 3

π / 4

π / 2

π

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Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

Domain of secθis

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