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If the straight line lx+my+n=0 touches t...

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)`

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CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. Find the equations of the tangents ot the ellipse x^(2)+3y^(2)=4 which...

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  2. Find the equation of the tangent, perpendicular to the line x+2y=0, to...

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  3. If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)=a^(...

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  4. If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)+2ag...

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  5. If the straight line lx+my+n=0 touches the : parabola y^(2)=4ax, pr...

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  6. Find the condition that the straight line lx+my=n touches the ellipse ...

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  7. If the straight line lx+my+n=0 touches the : hyperbola (x^(2))/(a^(2...

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  8. If the straight line y= x sin alpha+ a sec alpha be a tangent ot the c...

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  9. Find the condition that the straight line x cos theta+ y sin theta =p ...

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  10. Find the condition that the straight line x cos alpha+ y sin alpha=p i...

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  11. hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1.

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  12. If the straight line lx+my=1 touches th curve (ax)^(n)+(by)^(n)=1. The...

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

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

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

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

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

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

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

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

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