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-2

The length of the perpendicular from the origin to the plane 3x+4y+12z = 5z is

(A)

3

(B)

-4

(C)

5

(D)

None of these

Question-3

The projection of the line joining the points (3,4,5) and (4,6,3) on the line joining the points (-1,2,4) and (1,0,5) is :

(A)

4/3

(B)

2/3

(C)

-4/3

(D)

1/2

Question-4

If a plane meets the coordinate axes at A,B and C such that the centroid of the triangle is (1,2,4), then the equation of the plane is

(A)

x + 2 y + 4 z = 12

(B)

4 x + 2 y + z = 12

(C)

x + 2 y + 4 z = 3

(D)

4 x + 2 y + z = 3

Question-5

The direction cosines of the line joining the points (4,3,-5) and (-2,1,-8) are

(A)

(^{6}/_{7} , ^{2}/_{7} , ^{3}/_{7} )

(B)

(^{2}/_{7} , ^{3}/_{7} , ^{6}/_{7} )

(C)

(^{6}/_{7} , ^{3}/_{7} , ^{2}/_{7} )

(D)

None of these

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 perpendicular distance of the point (6,5,8) from y-axis is

(A)

5 units

(B)

6 units

(C)

8 units

(D)

10 units_{}

Question-8

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-9

If a line lies in the octant OXYZ and it makes equal angles with the axes ,then

(A)

l=m=n=^{1}/_{√3}

(B)

l=m=n=±^{1}/_{√3}

(C)

l=m=n=-^{1}/_{√3}

(D)

l=m=n=±^{1}/_{√}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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