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The curve y-e^(xy)+x=0 has a vertical ta...

The curve `y-e^(xy)+x=0` has a vertical tangent at the point :

A

(1, 1)

B

(0, 1)

C

(1, 0)

D

no point

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The correct Answer is:
C
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
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  2. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

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  3. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

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  4. What is the x coordinate of the point on the curve f(x)=sqrt(x)(7x-6) ...

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

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  6. Find the distance between the point (1, 1) and the tangent to the curv...

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  7. If OT is the perpendicular drawn from the origin to the tangent at any...

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  8. Determine p such that the length of the such-tangent and sub-normal is...

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  9. The angle at which the curve y=ke^(kx) intersects Y-axis is

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  10. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

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  11. If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x inters...

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  12. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

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  13. Show the condition that the curves a x^2+b y^2=1 and a^(prime)x^2+b^(p...

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

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  15. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  16. If curve x^2=9a(9-y) and x^2=a(y+1) intersect orthogonally then value ...

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  17. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

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  18. If f(x) = cos x, then

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  19. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

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  20. Show that the equation x^5-3x-1=0\ has a unique root in [1,2] .

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