1
IIT-JEE 1999
+2
-0.5
If $$x$$ $$=$$ $$9$$ is the chord of contact of the hyperbola $${x^2} - {y^2} = 9,$$ then the equation of the vcorresponding pair of tangents is
A
$$9{x^2} - 8{y^2} + 18x - 9 = 0$$
B
$$9{x^2} - 8{y^2} - 18x + 9 = 0$$
C
$$9{x^2} - 8{y^2} - 18x - 9 = 0$$
D
$$9{x^2} - 8{y^2} + 18x + 9 = 0$$
2
IIT-JEE 1998
+2
-0.5
The number of values of $$c$$ such that the straight line $$y=4x + c$$ touches the curve $$\left( {{x^2}/4} \right) + {y^2} = 1$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
infinite.
3
IIT-JEE 1998
+2
-0.5
If $$P=(x, y)$$, $${F_1} = \left( {3,0} \right),\,{F_2} = \left( { - 3,0} \right)$$ and $$16{x^2} + 25{y^2} = 400,$$ then $$P{F_1} + P{F_2}$$ equals
A
$$8$$
B
$$6$$
C
$$10$$
D
$$12$$
4
IIT-JEE 1995 Screening
+2
-0.5
Consider a circle with its centre lying on the focus of the parabola $${y^2} = 2px$$ such that it touches the directrix of the parabola. Then a point of intersection of the circle and parabola is
A
$$\left( {{p \over 2},p} \right)$$ or $$\left( {{p \over 2},- p} \right)$$
B
$$\left( { {p \over 2}, {p \over 2}} \right)$$
C
$$\left( -{{p \over 2},p} \right)$$
D
$$\left( { - {p \over 2}, - {p \over 2}} \right)$$
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