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Find the coodition that the straight lin...

Find the coodition that the straight line `lx+my+n=0` is a normal to the
ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`

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The correct Answer is:
`(a^(2))/(l^(2))+(b^(2))/(m^(2))=((a^(2)-b^(2))^(2))/(n^(2))`
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CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
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  3. Show that the length of the portion of the tangent to the curve x^((2)...

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  4. Show that the sum of the intercept on the coordinates axes of tangent ...

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  5. If h and k be the intercept on the coordinates axes of tangent to the ...

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  6. Find the equation of the normal to the parabola y^(2)=4ax at a point (...

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  7. Find the coodition that the straight line lx+my+n=0 is a normal to the...

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  8. Find the coodition that the straight line lx+my+n=0 is a normal to the...

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  9. If the line lx+my=1 be a normal to the hyperbola (x^(2))/(a^(2))-(y...

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  10. If the striaht line lx+my=1 is a normal to the parbaola y^(2)=4ax then...

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  11. If the line lx+my=1 is normal to the hyperbola (x^(2))/(9)-(y^(2))/(4)...

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  12. Show that the line (ax)/(3)+(by)/(4)=c be a normal to the ellipse (x^2...

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  13. If the line x cos alpha+ y sin alpha=p be a normal to the hyperbola b^...

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  14. Show that the normal to the curve x=3 cos theta- cos^(2) theta, y= 3 s...

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  15. Show that the normal at any point theta to the curve x=a(cos theta+ th...

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  16. Show that the normal to the rectangular hyperbola xy=c^(2) at point t ...

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  17. The angle between the two tangents drawn from a point p to the circle ...

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  18. Find the equation of tangent to the curve xy^(2)=4(4-x) where it meet ...

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

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  20. Find the equation of the tangent to the curve x^((2)/(3))+y^((2)/(3))=...

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