## Question

### Solution

Correct option is

1

Let t1t2t3t4 be the parameters of the points PQR and S respectively. Then the coordinates of PQR and S are  respectively.

Now,

PQ ⊥ RS

∴ Product of the slopes of CPCQCR and CS

#### SIMILAR QUESTIONS

Q1

The equation of the hyperbola with vertices (3, 0) and (–3, 0) and semi-latusrectum 4, is given by

Q2

The equation of the tangent to the curve 4x2 – 9y2 = 1 which is parallel to 4y = 5x + 7, is

Q3

The equation of the tangent parallel to y = x drawn to  is

Q4

If m is a variable, the locus of the point of intersection of the lines  is a/an

Q5

If the chords of contact of tangents from two points (x1y1) and (x2y2) to the hyperbola  are at right angles, then  is equal to

Q6

The locus of a point P(α, β) moving under the condition that the line y = αx + β is a tangent to the hyperbola

Q7

The equation of the chord joining two points (x1y1) and (x2y2) on the rectangular hyperbola xy = c2 is

Q8

If the line y = 2x + λ be a tangent to the hyperbola 36x2 – 25y2 = 3600, then λ is equal to

Q9

From any point on the hyperbola  tangents are drawn to the hyperbola . The area cut-off by the chord of contact on the asymptotes is equal to

Q10

Let  be two points on the hyperbola . If (hk) is the point of intersection of the normal of P and Q, then k is equal to