1

IIT-JEE 1990

Subjective

+4

-0

Straight lines $$3x + 4y = 5$$ and $$4x - 3y = 15$$ intersect at the point $$A$$. Points $$B$$ and $$C$$ are choosen on these two lines such that $$AB = AC$$. Determine the possible equations of the line $$BC$$ passing through the point $$(1, 2)$$.

2

IIT-JEE 1990

Subjective

+4

-0

A line cuts the $$x$$-axis at $$A (7, 0)$$ and the $$y$$-axis at $$B (0, -5)$$. A variable line $$PQ$$ is drawn perpendicular to $$AB$$ cutting the $$x$$axis in $$P$$ and they $$Y$$-axis in $$Q$$. If $$AQ$$ and $$BP$$ intersect at $$R$$, find the locus of R.

3

IIT-JEE 1989

Subjective

+5

-0

Let $$ABC$$ be a triangle with $$AB = AC$$. If $$D$$ is the midpoint of $$BC, E$$ is the foot of the perpendicular drawn from $$D$$ to $$AC$$ and $$F$$ the mid-point of $$DE$$, prove that $$AF$$ is perpendicular to $$BE$$.

4

IIT-JEE 1988

Subjective

+5

-0

Lines$${L_1} = ax + by + c = 0$$ and $${L_2} = lx + my + n = 0$$ intersect at the point $$P$$ and make an angle $$\theta $$ with each other. Find the equation of a line $$L$$ different from $${L_2}$$ which passes through $$P$$ and makes the same angle $$\theta $$ with $${L_1}$$.

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

Number in Brackets after Paper Indicates No. of Questions

IIT-JEE 2005 (1)
IIT-JEE 2002 (2)
IIT-JEE 2001 (1)
IIT-JEE 2000 (2)
IIT-JEE 1998 (1)
IIT-JEE 1996 (1)
IIT-JEE 1993 (2)
IIT-JEE 1992 (1)
IIT-JEE 1991 (2)
IIT-JEE 1990 (2)
IIT-JEE 1989 (1)
IIT-JEE 1988 (1)
IIT-JEE 1985 (2)
IIT-JEE 1984 (1)
IIT-JEE 1983 (3)
IIT-JEE 1980 (1)
IIT-JEE 1979 (1)
IIT-JEE 1978 (3)

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