## Question

### Solution

Correct option is The point A(4, 2) lies on 3x – 5= 2. It meets the hyperbola in and C(–6, –4). If we put these points in the line the results are of opposite sides of the line and hence on opposite sides of point which lies on the line. It is easy to find that #### SIMILAR QUESTIONS

Q1

Equation of tangent to the hyperbola 2x2 – 3y2 = 6 which is parallel to the line y = 3x + 4 is

Q2

Let be two points on the hyperbola . If (h, k) is thepoint of intersection of the normal’s at P and Qk is equal to

Q3

Let be two points on the hyperbola . If (h, k) is thepoint of intersection of the normal’s at P and Qk is equal to

Q4

Let two perpendicular chords of the ellipse each passing through exactly one of the foci meet at a point P. If from P two tangents are drawn to the hyperbola , then Q5

If x = 9 is the chord of contact of the hyperbola x2 – y2 = 9, then the equation of the corresponding pair of triangle is.

Q6

Find the equations of tangents to the hyperbola x2 – 4y = 36 which are perpendicular to the line x – y + 4 = 0

Q7

Find the coordinates of foci, the eccentricity and latus rectum. Determine also the equation of its directrices for the hyperbola

4x2 – 9y2 =36.

Q8

The asymptotes of the hyperbola makes an angle 600 with x-axis. Write down the equation of determiner conjugate to the diameter y = 2x.

Q9

Two straight lines pass through the fixed points and have gradients whose product is k > 0. Show that the locus of the points of intersection of the lines is a hyperbola.

Q10

Find the equation of the triangles drawn from the point (–2, –1) to the hyperbola 2x2 – 3y2 = 6.