1

IIT-JEE 2000

Subjective

+10

-0

Let $$ABC$$ and $$PQR$$ be any two triangles in the same plane. Assume that the prependiculars from the points $$A, B, C$$ to the sides $$QR, RP, PQ$$ respectively are concurrent. Using vector methods or otherwise, prove that the prependiculars from $$P, Q, R $$ to $$BC,$$ $$CA$$, $$AB$$ respectively are also concurrent.

2

IIT-JEE 1998

Subjective

+8

-0

Using co-ordinate geometry, prove that the three altitudes of any triangle are concurrent.

3

IIT-JEE 1996

Subjective

+2

-0

A rectangle $$PQRS$$ has its side $$PQ$$ parallel to the line $$y = mx$$ and vertices $$P, Q$$ and $$S$$ on the lines $$y = a, x = b$$ and $$x = -b,$$ respectively. Find the locus of the vertex $$R$$.

4

IIT-JEE 1993

Subjective

+5

-0

A line through $$A (-5, -4)$$ meets the line $$x + 3y + 2 = 0,$$ $$2x + y + 4 = 0$$ and $$x - y - 5 = 0$$ at the points $$B, C$$ and $$D$$ respectively. If $${\left( {15/AB} \right)^2} + {\left( {10/AC} \right)^2} = {\left( {6/AD} \right)^2},$$ find the equation of the line.

Questions Asked from Straight Lines and Pair of Straight Lines (Subjective)

Number in Brackets after Paper Indicates No. of Questions

IIT-JEE 2005 (1)
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IIT-JEE 1984 (1)
IIT-JEE 1983 (3)
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IIT-JEE 1979 (1)
IIT-JEE 1978 (3)

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