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Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is...

Let `f(x)=x^3-3(a-2)x^2+3ax+7` and `f(x)` is increasing in `(0,1]` and decreasing is `[1,5)`, then roots of the equation `(f(x)-14)/((x-1)^2)=0` is (A) `1` (B) `3` (C) `7` (D) `-2`

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JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
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  2. If the tangent drawn to parabola y=x^2-5x+5 at a point is parallel to ...

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  3. Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decre...

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  4. A circle of radius r passes through origin and cut the x-axis and y-ax...

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  5. If y(x) satisfies the differential equation (dy)/(dx)=(x^2-2y)/x where...

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  6. If alpha, betaepsilon(0, pi/2) and if sin^4alpha+4cos^4beta+2=4sqrt2 s...

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  7. A plane passing through three points (-lamda^2, 1, 1) (1, -lamda^2, 1)...

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  8. If f(1)=2, f\'(x)=f(x) and h(x)=fof(x) then h'\(1) is equal to ...

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  9. Let A={x:xepsilonz and 2^((x+2)(x^2-5x+6))=1}, B={x:xepsilonz and -3lt...

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  10. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

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  11. The equation of a tangent to the parabola, x^(2)=8y, which makes an an...

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  12. Let S and S' be the foci of the ellipse and B be any one of the extrem...

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  13. Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Number of integral values of m fo...

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  14. Point P is at a height of 25m from surface of lake. The angel of eleva...

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  15. The set of all values of lambda for which the system of linear equatio...

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  16. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

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  17. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

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  18. If the system of linear equations x - 4y + 7z = g 3y - 5z = h -2...

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  19. The logical statement [~(~pvee q) vee (p vee r) wedge (~q wedge r)] i...

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  20. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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