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Show that the length of the portion of t...

Show that the length of the portion of the tangent to the curve `x^((2)/(3))+y^((2)/(3))=4` at any point on it, intercepted between the coordinate axis in constant.

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Show that the lenght of the portion of the tangent to the curve x^(2/3)+y^(2/3)=a^(2/3) at any point of it, intercept between the coordinate axes is contant.

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Find the equation of the tangent to the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) at the point (alpha,beta)

Prove that the portion of the tangent to the curve (x+sqrt(a^2-y^2))/a=(log)_e(a+sqrt(a^2-y^2))/y intercepted between the point of contact and the x-axis is constant.

Find the equation of the curve whose length of the tangent at any point on ot, intercepted between the coordinate axes is bisected by the point of contact.

Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3)) at the point where it cuts the x-axis.

The slope of the tangent line to the curve x^(3)-x^(2)-2x+y-4=0 at some point on it is. 1. Find the coordinates of such point or points.

Show that the sum of the intercept on the coordinates axes of tangent to the curve sqrt(x)+sqrt(y)=sqrt(a) at any point on it is constant.

Show that the minimum value of the length of a tangent to the ellipse b^(2)x^(2)+a^(2)y^(2)=a^(2)b^(2) intercepted between the axes is (a+b).

If h and k be the intercept on the coordinates axes of tangent to the curve ((x)/(a))^((2)/(3))+((y)/(b))^((2)/(3))=1 at any point, on it, then prove that (h^(2))/(a^(2))+(k^(2))/(b^(2))=1

CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. The equation of the tangent to the curve y=a+bx+cx^() where it meet th...

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  2. If x(1) and y(1) be the intercepts on the x and y-axis respectively of...

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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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