Question

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

Solution

Correct option is

 

The line x = 9 meets the hyperbola at . The equations of tangents at these points are, 

       

The combined equation of these two is  

           

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

Q8

PQ and RS are two perpendicular chords of the rectangular hyperbola xyc2. If C is the centre of the rectangular hyperbola, then the product of the slopes of CPCQCR and CS equal to  

Q9

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

Q10

If e and e’ be the eccentricities of two conics S = 0 and S’ = 0 and if e2 +e2 = 3, then both S and S’ can be