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

Let `f(x)=|(1,1,1),(3x-x,5-3x^(2),3x^(3)-1),(2x^(2)-1,3x^(5)-1,7x^(8)-1)|`. Then which of the following is/are correct?

A

no real solution

B

atmost one real root

C

atleast two real root

D

exactly one real root in (0, 1) and no other real root

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
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  2. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx ...

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

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

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

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

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  12. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

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  14. The Curve possessing the property that the intercept made by the tange...

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  15. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

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  16. A curve is represented parametrically by the equations x=t+e^(at) and ...

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  17. At any two points of the curve represented parametrically by x=a (2 co...

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  18. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

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  19. Given f'(1)=1and f(2x)=f(x)AAxgt0.If f'(x) is differentiable, then th...

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