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Find the common tangents to the hyperbol...

Find the common tangents to the hyperbola `x^(2)-2y^(2)=4` and the circle `x^(2)+y^(2)=1`

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The correct Answer is:
`y= +-x +- sqrt(2)`
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CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. Find the equation of the common tangent to the circle x^(2)+y^(2)=8 an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If the striaht line lx+my=1 is a normal to the parbaola y^(2)=4ax then...

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  19. If the line lx+my=1 is normal to the hyperbola (x^(2))/(9)-(y^(2))/(4)...

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  20. Show that the line (ax)/(3)+(by)/(4)=c be a normal to the ellipse (x^2...

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