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about to only mathematics...

about to only mathematics

A

2

B

4

C

zero

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
The equation of the hyperbola is
`(x^(2))/(9)-(y^(2))/(16)=1`
The equation of the tangent is
`y=mx+sqrt(9x^(2)-16)`
`"or sqrt(9m^(2)-16)=2sqrt5`
`"or "m= pm2`
or a + b = sum of roots = 0
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CENGAGE ENGLISH-HYPERBOLA-EXERCISES
  1. If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , t...

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  2. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

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  3. about to only mathematics

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  4. The locus of a point whose chord of contact with respect to the circle...

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  5. The sides A Ca n dA B of a A B C touch the conjugate hyperbola of the...

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  6. The number of possible tangents which can be drawn to the curve 4x^2-9...

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  7. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 pa...

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  8. Locus of the feet of the perpendiculars drawn from either foci on a va...

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  9. P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, and N...

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  10. The coordinates of a point on the hyperbola (x^2)/(24)-(y^2)/(18)=1 wh...

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  11. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 me...

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  12. The locus of a point, from where the tangents to the rectangular hyp...

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  13. If tangents P Qa n dP R are drawn from a variable point P to thehyperb...

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  14. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...

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  15. If a ray of light incident along the line 3x+(5-4sqrt(2))y=15 gets ref...

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  16. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

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  17. The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at r...

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  18. The locus of the point which is such that the chord of contact of ta...

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  19. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

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  20. If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2...

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