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The angle of intersection of the curv...

The angle of intersection of the curves `x y=a^2` and `x^2-y^2=2a^2` is zero `0o` (b) `45o` (c) `90o` (d) `30o`

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To find the angle of intersection between the curves \(xy = a^2\) and \(x^2 - y^2 = 2a^2\), we will follow these steps: ### Step 1: Differentiate the first curve The first curve is given by: \[ xy = a^2 \] To find the slope of the tangent to this curve, we differentiate both sides with respect to \(x\): ...
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RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. The equation of the normal to the curve 3x^2-y^2=8 which is paralle...

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  2. The equation of tangent at those points where the curve y=x^2-3x+2 ...

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  3. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at...

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  4. At what points the slope of the tangent to the curve x^2+y^2-2x-3=0...

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  5. The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is...

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  6. If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a ...

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  7. If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then ...

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  8. The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is ...

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  9. The curves y=a e^x and y=b e^(-x) cut orthogonally, if a=b (b) a=-b (c...

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  10. The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ s ...

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  11. If the curves y=2\ e^x and y=a e^(-x) intersect orthogonally, then ...

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  12. The point on the curve y=6x-x^2 at which the tangent to the curve i...

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  13. The angle of intersection of the parabola y^2=4\ a x and x^2=4a y a...

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  14. The angle of intersection of the curves y=2\ s in^2x and y=cos2\ x ...

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  15. Any tangent to the curve y=2x^7+3x+5 (a) is parallel to x-axis ...

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  16. The point on the curve 9y^2=x^3 , where the normal to the curve mak...

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  17. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at...

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  18. The line y=m x+1 is a tangent to the curve y^2=4x , if the value of...

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  19. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

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  20. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

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