Multiple Choice QuestionsThe distance of the point (1, 3, –7) from the plane passing through the point (1, –1, –1), having normal perpendicular to both the lines
 is
The lines p(p2+ 1) x – y + q = 0 and (p2+ 1)2x + (p2+ 1) y + 2q = 0 are
perpendicular to a common line for
no value of p
exactly one value of p
exactly two values of p
exactly two values of p
Let the line 
 lie in the plane x + 3y – αz + β = 0. Then (α, β) equals
(6, – 17)
(–6, 7)
(5, –15)
(5, –15)
If P and Q are the points of intersection of the circles x2+ y2+ 3x + 7y + 2p – 5 = 0 and x2+ y2+ 2x + 2y – p2 = 0, then there is a circle passing through P, Q and (1, 1) for
all values of p
all except one value of p
all except two values of p
all except two values of p
The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz−plane at the point 
. Then
a = 2, b = 8
a = 4, b = 6
a = 6, b = 4
a = 6, b = 4
If the straight lines 
 intersect at a point, then the integer k is equal to
-5
2
5
5
Let L be the line of intersection of the planes 2x + 3y + z = 1 and x + 3y + 2z = 2. If L makes an angle α with the positive x-axis, then cos α equals-
1/2
1
1
The resultant of two forces P N and 3 N is a force of 7 N. If the direction of the 3 N force were reversed, the resultant would be 
N. The value of P is
5N
6N
4N
4N
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