Question

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

Solution

Correct option is

 

The mid-point of the chord is 

The equation of the chord in terms of its mid-point is  

               T = S’ 

  

  

SIMILAR QUESTIONS

Q1

 

The vertices of the hyperbola

     

Q2

 

The centre of the hyperbola

       

Q3

The eccentricity of the hyperbola with latusrectum 12 and semi-conjugate axis , is 

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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