IIT-JEE 1998 | Straight Lines and Pair of Straight Lines Question 36 | Mathematics

IIT-JEE 1998

MCQ (More than One Correct Answer)

-0.5

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)?

centroid ( A rational point is a point both of whose co-ordinates are rational numbers.)

incentre. ( A rational point is a point both of whose co-ordinates are rational numbers.)

circumcentre ( A rational point is a point both of whose co-ordinates are rational numbers.)

orthocentre ( A rational point is a point both of whose co-ordinates are rational numbers.)

IIT-JEE 1986

MCQ (More than One Correct Answer)

-0.5

All points lying inside the triangle formed by the points $$\left( {1,\,3} \right),\,\left( {5,\,0} \right)$$ and $$\left( { - 1,\,2} \right)$$ satisfy

$$3x + 2y \ge 0$$

$$2x + y - 13 \ge 0$$

$$2x - 3y - 12 \le 0$$

$$ - 2x + y \ge 0$$

IIT-JEE 1985

MCQ (More than One Correct Answer)

-0.5

Three lines $$px + qy + r = 0$$, $$qx + ry + p = 0$$ and $$rx + py + q = 0$$ are concurrent if

$$p + q + r = 0$$

$${p^2} + {q^2} + {r^2} = qr + rp + pq$$

$${p^3} + {q^3} + {r^3} = 3pqr$$

none of these.

JEE Advanced Subjects