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If the striaht line lx+my=1 is a normal ...

If the striaht line `lx+my=1` is a normal to the parbaola `y^(2)=4ax` then show that,
`al^(3)+2alm^(2)=m^(2)`

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If the straight line lx + my=1 is a normal to the parabola y^(2)=4ax , then-

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If the straight line lx+my+n=0 touches the : parabola y^(2)=4ax , prove that am^(2)=nl

If the line lx+my=1 is normal to the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 , show that (9)/(l^(2))-(4)/(m^(2))=169

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If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)=a^(2) , show that a^(2)(l^(2)+m^(2))=n^(2)

If the straight line lx+my+n=0 be a normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then by the application of calculus, prove that (a^2)/(l^2)-(b^2)/(m^2)=((a^2+b^2)^2)/(n^2) .

answer any two questions :(iii) if the straight line lx+my=n be a normal to the hyperbola x^2/a^2 -y^2/b^2 =1 , then by the application of calculus prove 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 : circle x^(2)+y^(2)+2agx+2fy+c=0 show that, (l^(2)+m^(2))(g^(2)+f^(2)-c)= (gl+ fm-n)^(2)

CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
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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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