If α,β,γ be the angles which a line makes with the co-ordinate axes ,then

(A)

Sin^{2}α + Cos^{2}β + Sin^{2} γ=1

(B)

Cos^{2}α + Cos^{2}β + Cos^{2} γ=1

(C)

Sin^{2}α + Sin^{2}β + Sin ^{2}γ=1

(D)

Cos^{2}α + Cos^{2}β + Sin^{2} γ=1

Question-2

The distance between the points (1,4,5) and (2,2,3 ) is

(A)

5

(B)

4

(C)

3

(D)

2

Question-3

The intercept of the plane 5 x - 3 y + 6 z = 60 on the co-ordinate axes are

(A)

(10,20,-10)

(B)

(10,-20,12)

(C)

(12,-20,10)

(D)

(12,20,-10)

Question-4

A variable plane moves ,so that the sum of the reciprocals of its intercepts on the co-ordinate axes is 1/2.Then the plane passes through .

(A)

(^{1}/_{2},^{1}/_{2},^{1}/_{2})

(B)

(-1,1,1)

(C)

(2,2,2)

(D)

(0,0,0)

Question-5

The equation of the plane passing through (2,3,4) and parallel to the plane 5x-6y+7z=3 is

(A)

5x-6y+7z+20 = 0

(B)

5x-6y+7z-20=0

(C)

-5x+6y-7z+3=0

(D)

5x+6y+2z+3=0

Question-6

The angle between the straight lines ^{x+1}/_{2} =^{ y-2}/_{5} = ^{z+3}/_{4} and ^{x-1}/_{1} = ^{y+2}/_{2} = ^{z-3}/_{-3} is

(A)

45^{0}

(B)

30^{0}

(C)

60^{0}

(D)

90^{0}

Question-7

The value of aa' + bb'+ cc' being negative .The origin will lie in the acute angle between the planes are +by+cz+d=0 and a ' x + b ' y + c 'z+d '= 0,if

(A)

a = a' = 0

(B)

d and d' are of same sign

(C)

d and d' are of opposite sign

(D)

None of these

Question-8

The points A (4,5,1), B (0,-1,-1) (3,9,4) and D (-4,4,4) are:

(A)

Collinear

(B)

Coplanar

(C)

Non - coplanar

(D)

non collinear and non coplanar

Question-9

The equation to the straight line passing through the points (4,-5,-2) and (-1,5,3) is

(A)

^{x-4}/_{1}=^{y+5}/_{-2}=^{z+2}/_{-1}

(B)

^{x+4}/_{1}=^{y-5}/_{2}=^{z-3}/_{-1}

(C)

^{x}/_{-1}=^{y}/_{5}=^{z}/_{3}

(D)

^{x}/_{4}=^{y}/_{-5}=^{z}/_{-2}

Question-10

The ratio in which yz - plane divides the line segment joining (-3,4,-2) and (2,1,3) is

(A)

-4 : 1

(B)

3:2

(C)

-2:3

(D)

1:4

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