If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is
A
square
B
circle
C
straight line
D
two intersecting lines
2
IIT-JEE 1990
MCQ (Single Correct Answer)
Line $$L$$ has intercepts $$a$$ and $$b$$ on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line $$L$$ has intercepts $$p$$ and $$q$$, then
If $$P=(1, 0),$$ $$Q=(-1, 0)$$ and $$R=(2, 0)$$ are three given points, then locus of the point $$S$$ satisfying the relation $$S{Q^2} + S{R^2} = 2S{P^2},$$ is
A
a straight line parallel to x-axis
B
a circle passing through the origin
C
a circle with the centre at the origin
D
a straight line parallel to y-axis.
4
IIT-JEE 1986
MCQ (Single Correct Answer)
A vector $$\overline a $$ has components $$2p$$ and $$1$$ with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system, $$\overline a $$ has components $$p + 1$$ and $$1$$, then
A
$$p = 0$$
B
$$p = 1$$ or $$p = - {1 \over 3}$$
C
$$\,p = - 1$$ or $$p = {1 \over 3}$$
D
$$p = 1$$ or $$p = -1$$
Questions Asked from Straight Lines and Pair of Straight Lines
On those following papers in MCQ (Single Correct Answer)
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