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Show that the equation of the normal to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` at the point `(asqrt(2),b)` is `ax+b sqrt(2)=(a^2+b^2)sqrt(2)`.

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Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x0, y0).

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

The slop of the normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( a sec theta , b tan theta) is -

The parametric equations of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1 are-

Find the slope of normal to the ellipse , (x^(2))/(a^(2))+(y^(2))/(b^(2))=2 at the point (a,b).

The equation of the auxiliary circle of the hyperbola x^2/a^2-y^2/b^2=1 is

Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2))/(9)=1 "at" ((5)/(sqrt(2)),(3)/(sqrt(2))) is the line 5x-3y=8sqrt(2) .

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If the straight line lx+my=n is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 show that (a^(2))/(l^(2))-(b^(2))/(m^(2))=((a^(2)+b^(2))^(2))/(n^(2)) .

If the straight line lx+my+n=0 touches the : hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , show that a^(2) l^(2)-b^(2)m^(2)=n^(2) .

CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
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  2. Find the equation of the tangent to the parabola y^(2)=8x which is inc...

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  3. Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the...

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  4. Find the equation of the tangnet to the hyperbola 3x^(2)-4y^(2)=12, wh...

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  5. Prove the equation of the tangent from any point on the line 3x-8y+2=0...

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  6. If the length of the length drawn from (f,g) to the circle x^(2)+y^(2...

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  7. Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2...

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  8. Show that the equation of the normal to the hyperbola (x^(2))/(a^(2))-...

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  9. Find the equation of normal to the hyperbola x^(2)-y^(2)=16 " at " (4...

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  10. Find the equation of normal to the parabola y^(2)=4x, paralle to the s...

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  11. Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 ,1).

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  12. Find the equation of that normal to the parabola x^(2)=4ay which maeks...

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  13. Find the eqaution of that normal to the hyperbola 3x^(2)-2y^(2)=10 at ...

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  14. Find the equation of normal to the parabola y^(2)=12x at (3t^(2),6t)....

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  15. Prove that the normals at the points (1,2) and (4,4) of the parbola y...

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  16. Find the equation of the normal to the hyperbola x^(2)=4y drawn at (2,...

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  17. Find the equation of the normal to the hyperbola x^(2)-y^(2)=9 at the...

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  18. Find the equation of the normal to the curve x^(2)=4y, which passes th...

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  19. Find the equation of the normal at the points on the curve y=(x)/(1-x^...

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  20. A tangent is drawn to the curve x^(2)(x-y)+a^(2)(x+y)=0 at the origin....

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