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The number of point in the rectangle `{(x , y)}-12lt=xlt=12a n d-3lt=ylt=3}` which lie on the curve `y=x+sinx` and at which in the tangent to the curve is parallel to the x-axis is (a) 0 (b) 2 (c) 4 (d) 8

A

3

B

2

C

4

D

None of these

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B
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ARIHANT MATHS ENGLISH-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. If the normal to y=f(x) at (0, 0) is given by y-x =0, then lim(x to 0)...

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  2. Tangent to a curve intercepts the y-axis at a point P. A line perpendi...

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  3. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

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  4. If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have no...

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  5. If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have no...

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  6. Let f(x) be a differentiable function in the interval (0, 2) then the ...

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  7. Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...

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  8. The curve x+y-log(e)(x+y)=2x+5 has a vertical tangent at the point (al...

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  9. Let y = f(x), f : R ->R be an odd differentiable function such that f'...

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  10. A polynomial of 6th degree f(x) satisfies f(x)=f(2-x), AA x in R, if f...

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  11. Let a curve y=f(x),f(x)ge0, AA x in R has property that for every poin...

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

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  13. Let f(x)=|(1,1,1),(3x-x,5-3x^(2),3x^(3)-1),(2x^(2)-1,3x^(5)-1,7x^(8)-1...

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  14. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

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  15. In which of the following functions is Rolles theorem applicable? (a)f...

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  16. The figure shows a right triangle with its hypotenuse OB along the y-a...

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  17. Number of positive integral value(s) of a for which the curve y=a^(x) ...

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  18. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

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  19. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

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  20. Coffee is coming out from a conical filter, with height and diameter b...

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