IIT-JEE 2002 Screening | Straight Lines and Pair of Straight Lines Question 22 | Mathematics

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)

-0.75

A straight line through the origin $$O$$ meets the parallel lines $$4x+2y=9$$ and $$2x+y+6=0$$ at points $$P$$ and $$Q$$ respectively. Then the point $$O$$ divides the segemnt $$PQ$$ in the ratio

$$1 : 2$$

$$3 : 4$$

$$2 : 1$$

$$4 : 3$$

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)

-0.75

Let $$P = \left( { - 1,\,0} \right),\,Q = \left( {0,\,0} \right)$$ and $$R = \left( {3,\,3\sqrt 3 } \right)$$ be three points.
Then the equation of the bisector of the angle $$PQR$$ is

$${{\sqrt 3 } \over 2}x + y = 0$$

$$x + \sqrt 3 y = 0$$

$$\sqrt 3 x + y = 0$$

$$x + {{\sqrt 3 } \over 2}y = 0$$

IIT-JEE 2002

MCQ (Single Correct Answer)

-1

The pair of lines represented by
$$3a{x^2} + 5xy + \left( {{a^2} - 2} \right){y^2} = 0$$ are perpendicular to each other for

two values of $$a$$

$$\forall \,a$$

for one values of $$a$$

for no values of $$a$$

IIT-JEE 2002

MCQ (Single Correct Answer)

-1

If the pair of lines $$a{x^2} + 2hxy + b{y^2} + 2gx + 2fy + c = 0$$ intersect on the $$y$$ axis then

$$2fgh = b{g^2} + c{h^2}$$

$$b{g^2} \ne c{h^2}$$

$$\,abc = 2fgh$$

none of these

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