Question

The line  will touch the parabola y2 = 4a(x + a), if

Solution

Correct option is

Line 

                   … (1)

Any tangent of y2 = 4a(x + a) is

                                … (2)

Compare (1) and (2),

     

SIMILAR QUESTIONS

Q1

The conic represented by the equation  is

Q2

If (4, 0) is the vertex and y-axis, the directrix of a parabola then its focus is

Q3

The straight line y = mx + c touches the parabola y2 = 4a(x + a) if

Q4

The focus of the parabola x2 – 2x – y + 2 = 0 is

Q5

If P1Q1 and P2Q2 are two focal chords of the parabola y2 = 4ax, then the chords P1P2 and Q1Q2 intersect on the

Q6

The condition that the line  be a normal to the parabola  

y2 = 4ax is

Q7

The equation of the normal to the hyperbola y2 = 4x, which passes through the point (3, 0), is

Q8

PQ is a double of the parabola y2 = 4ax. The locus of the points of trisection of PQ is

Q9

The locus of the point of intersection of the lines bxt – ayt = ab and bx + ay = abt is 

Q10

The equation of the parabola whose axis is vertical and passes through the points (0, 0), (3, 0) and (–1, 4), is