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If the straight line y= x sin alpha+ a s...

If the straight line `y= x sin alpha+ a sec alpha` be a tangent ot the circle `x^(2)+y^(2)=a^(2)`, then show that `cos^(2)alpha=1`

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CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
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  2. If the straight line lx+my+n=0 touches the : hyperbola (x^(2))/(a^(2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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