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Show that the tangents at the ends of la...

Show that the tangents at the ends of latus rectum of an ellipse intersect on the major axis.

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The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

The point of intersection of the tangents at the ends of the latus rectum of the parabola y^2=4x is_____________

The length of latus rectum of an ellipse is equal to the length of its semi-minor axis . The ratio of lengths of its minor axis and major axis is _

Taking the major and minor axes as the axes of coordinates, find the equation of the ellipse whose length of latus rectum is 8 and length of semi - major axis is 9

Prove that the straight line joining the upper end of one latus rectum and lower end of other latus rectum of an ellipse passes through the centre of the ellipse .

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CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. If the straight line lx+my=1 touches th curve (ax)^(n)+(by)^(n)=1. The...

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  2. If the straigjht line x cos alpha+ y sin alpha=p touches the curve x^(...

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  3. Show that the tangents at the ends of latus rectum of an ellipse inter...

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  4. Find the equation of the common tangent to the circle x^(2)+y^(2)=8 an...

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  5. Find the equation o of the common tangent to the parabolas y^(2)=32x ...

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  6. Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circl...

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  7. The equation of the tangent to the curve y^(2)=ax^(3)+b at the point (...

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  8. In each of the following cases find the angle between the given curves...

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  9. In each of the following cases find the angle between the given curves...

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  10. Show that curves x^(3)-3xy^(2)+2=0 and y^(3)-3x^(2)y+2=0 intersect at ...

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  11. If the curves ax^(2)+by^(2)=1 and cx^(2)+dy^(2)=1 intersect at right a...

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  12. The equation of the tangent to the curve y=a+bx+cx^() where it meet th...

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

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  14. Show that the length of the portion of the tangent to the curve x^((2)...

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

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

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

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

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

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

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