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

IIT-JEE 2002

MCQ (Single Correct Answer)

-1

Locus of mid point of the portion between the axes of $$x$$ $$\cos \alpha + y\sin \alpha = p$$ where $$p$$ is constant is

$${x^2} + {y^2} = {4 \over {{p^2}}}\,\,\,$$

$${x^2} + {y^2} = 4{p^2}$$

$${1 \over {{x^2}}} + {1 \over {{y^2}}} = {2 \over {{p^2}}}$$

$${1 \over {{x^2}}} + {1 \over {{y^2}}} = {4 \over {{p^2}}}$$

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

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 2001 Screening

MCQ (Single Correct Answer)

-0.75

The number of integer values of $$m$$, for which the $$x$$-coordinate of the point of intersection of the lines $$3x + 4y = 9$$ and $$y = mx + 1$$ is also an integer, is

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