Question

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

Solution

Correct option is

±16

 

The equation of the hyperbola is .

The line y = 2x + λ touches this hyperbola, if 

           

   

SIMILAR QUESTIONS

Q1

 

The centre of the hyperbola

       

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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