## Question

### Solution

Correct option is

4x + 3y + 17 = 0

We know that asymptotes of rectangular hyperbola are mutually perpendicular, thus other asymptote should be 4x + 3y + λ = 0.

Intersection point of asymptotes is also the center of the hyperbola. Hence intersection point of 4x + 3y + λ = 0 and 3x – 4– 6 = 0 should lie on the line x – y – 1 = 0, using it λ can be easily obtained.

#### SIMILAR QUESTIONS

Q1

If (asecθ, btanθ) and (asecÏ•, btanÏ•) are the ends of a focal chord of equal to

Q2

The point of intersection of the curves whose parametric equation are x = t2 + 1, y = 2t and x = 2sy = 2/s, is given by

Q3

The area of triangle formed by the lines x – y = 0, x + y = 0 and any tangent to the hyperbola x – y= ais

Q4

A circle cuts the rectangular hyperbola xy = 1 in the points (xr, yr),r = 1, 2, 3, 4. Then the values of x1x2x3x4 and y12y3y4 respectively, are

Q5

A hyperbola, having the transverse axis of length , is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is

Q6

If and e’ be the eccentricities of two conics S and S’ such that e2 + e2 = 3, then both S and S’ are

Q7

The eccentricity of the hyperbola 2x2 – y2 = 4 is

Q8

If the foci of the ellipse and the hyperbola conincide, then the value of b2 is