AIEEE 2004 (Maths) Mock Test

The equation of the straight line passing through the point $(4,3)$ and making intercepts on the co-ordinate axes whose sum is $-1$ is

If the sum of the slopes of the lines given by $x^2-2cxy-7y^2=0$ is four times their product, then $c$ has the value

If one of the lines given by $6x^2-xy+4c{y}^2=0$ is $3x+4y=0,$ then $c$ equals

If a circle passes through the point $(a,b)$ and cuts the circle $x^2+y^2=4$ orthogonally, then the locus of its centre is

A variable circle passes through the fixed point $A(p,q)$ and touches $x$ -axis. The locus of the other end of the diameter through $A$ is