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If tangen at any point of the curve y=...

If tangen at any point of the curve
`y=x^3+lamdax^2+x+5` makes acute angle with x-axis then

A

`0ltlamdalt3`

B

`-sqrt3 lt lamda lt sqrt3`

C

`|lamda|lt1`

D

`lamda in (0,1)`

Text Solution

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The correct Answer is:
B
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MOTION-TANGENT & NORMAL-EXERCISE 1
  1. The equation of normal to the curve, x^(2//3)+y^(2//3)=a^(2//3) at the...

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

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  3. If tangen at any point of the curve y=x^3+lamdax^2+x+5 makes acute a...

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  4. The distance between the origin and the normal to the curve y=e^(2x)+x...

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  5. Find the coordinates of the points on the curve y=x^2+3x+4 , the ta...

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  6. The distance between the origin and the normal to the curve y=e^(2x)+x...

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  7. A curve is represented by the equations x=sec^2t abdy=cott , where t i...

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  8. If the curve y=x^(2)+bx +c touches the line y = x at the point (1,1),...

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  9. Find value of c such that line joining points (0, 3) and (5, -2) becom...

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  10. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

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  11. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

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  12. if the tangent ta the curve x=a(1+sintheta) , y=a(1+costheta) at theta...

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  13. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

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  14. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

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  15. The ordinate of y=(a/2)(e^(x/a)+e^(-x/a))is the geometric mean of the ...

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  16. For a curve (length of normal)^2/(length of tangent)^2 is equal to

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  17. If at any point on a curve the surtangent and subnormal are equal, the...

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  18. The curves x^3+p xy^2=-2 and 2x^2y-y^3=2 are othogonal for

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  19. If curves (x^2)/(a^2)-(y^2)/(b^2)=1 and xy=c^2 intersect othrogonally ...

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  20. Equation of the normal to the curve y=-sqrtx+ 2 at the point of its in...

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