1

IIT-JEE 1999

MCQ (More than One Correct Answer)
Let $${L_1}$$ be a straight line passing through the origin and $${L_2}$$ be the straight line $$x + y = 1$$. If the intercepts made by the circle $${x^2} + {y^2} - x + 3y = 0$$ on $${L_1}$$ and $${L_2}$$ are equal, then which of the following equations can represent $${L_1}$$?
A
$$x + y = 0$$
B
$$x -y = 0$$
C
$$x + 7y = 0$$
D
$$x - 7y = 0$$
2

IIT-JEE 1998

MCQ (More than One Correct Answer)
If the vertices $$P, Q, R$$ of a triangle $$PQR$$ are rational points, which of the following points of the triangle $$PQR$$ is (are) always rational point(s)?
A
centroid ( A rational point is a point both of whose co-ordinates are rational numbers.)
B
incentre. ( A rational point is a point both of whose co-ordinates are rational numbers.)
C
circumcentre ( A rational point is a point both of whose co-ordinates are rational numbers.)
D
orthocentre ( A rational point is a point both of whose co-ordinates are rational numbers.)
3

IIT-JEE 1986

MCQ (More than One Correct Answer)
All points lying inside the triangle formed by the points $$\left( {1,\,3} \right),\,\left( {5,\,0} \right)$$ and $$\left( { - 1,\,2} \right)$$ satisfy
A
$$3x + 2y \ge 0$$
B
$$2x + y - 13 \ge 0$$
C
$$2x - 3y - 12 \le 0$$
D
$$- 2x + y \ge 0$$
4

IIT-JEE 1985

MCQ (More than One Correct Answer)
Three lines $$px + qy + r = 0$$, $$qx + ry + p = 0$$ and $$rx + py + q = 0$$ are concurrent if
A
$$p + q + r = 0$$
B
$${p^2} + {q^2} + {r^2} = qr + rp + pq$$
C
$${p^3} + {q^3} + {r^3} = 3pqr$$
D
none of these.

Questions Asked from Straight Lines and Pair of Straight Lines

On those following papers in MCQ (Multiple Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
IIT-JEE 1999 (1)
IIT-JEE 1998 (1)
IIT-JEE 1986 (1)
IIT-JEE 1985 (1)

Joint Entrance Examination

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