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The curve given by x+y=e^(x y) has a tan...

The curve given by `x+y=e^(x y)` has a tangent parallel to the y-axis at the point (a)`(0,1)` (b) `(1,0)` (c)`(1,1)` (d) none of these

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

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  2. If the line joining the points (0,3) and (5,-2) is a tangent to the c...

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  3. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

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  4. The number of tangents to the curve x^(3/2)+y^(3/2)=2a^(3/2),a >0, whi...

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  5. Show that the square roots of two successive natural numbers greater ...

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  6. If m is the slope of a tangent to the curve e^y=1+x^2, then (a)|m|>1 ...

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  7. The angle made by the tangent of the curve x = a (t + sint cost), y = ...

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  8. If f(x)=x^alphalogx and f(0)=0, then the value of alpha for which Ro...

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  9. The value of ′c′ in Lagrange's mean value theorem for f(x)=x(x−2)^2 in...

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  10. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

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  11. The triangle formed by the tangent to the curve f(x)=x^2+bx-b at the ...

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  12. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

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  13. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  14. Show that the normal at any point theta to the curve x=acostheta+at...

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  15. If a,b,c in R and a+b+c=0, then the quadratic equation 3ax^2+2bx+c=0 ...

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  16. The tangent to the curve y=e^x drawn at the point (c,e^c) intersects t...

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  17. Let S denote the set of all polynomials P(x) of degree lt=2 such tha...

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  18. For the function f(x)=x^4(12(log)e x-7), show that the point (1,7) is...

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  19. Let f(x)=log(2x-x^2)+sin((pix)/2)dot Then which of the following is/ar...

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  20. Find the coordinates of the point on the curve y=x/(1+x^2)where the te...

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