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If x(1) and y(1) be the intercepts on th...

If `x_(1) and y_(1)` be the intercepts on the x and y-axis respectively of tangent to the curve `x= a cos^(3) theta, y = b sin ^(3) theta` at any point `theta` , on the then priove that,
`(x_(1)^(2))/(a^(2))+(y_(1)^(2))/(b^(1))=1`

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CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
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  7. Find the equation of the normal to the parabola y^(2)=4ax at a point (...

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

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

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

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

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

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

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

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

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

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

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

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

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