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The value of a so that the sum of the sq...

The value of a so that the sum of the squares of roots of the equation `x^2-(a-2)x-a+1=0` assume the least value is

A

2

B

0

C

3

D

1

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The difference of a number and its square is maximum, then the number ...

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  2. If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)...

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  3. The value of a so that the sum of the squares of roots of the equation...

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  4. The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3. T...

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  5. The focal distance of the point (4,2) on the parabola x^(2)=8y is

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  6. The equation of the normal to the curve x^2=4y at (2,1) is

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  7. The point on the curve y=x^2 which is nearest to (3,0) is

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  8. The point on the curve x^2=2y which is closest to the point (0,5) is

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  9. The minimum distance from the origin to a point on the curve x^(2//3) ...

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  10. The shortest distance from (-6,0) to x^2-y^2+16=0 is

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  11. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

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  12. The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 ...

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

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  14. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

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  15. Point P is (-2,-3) and point Q is (3,7) . The point A on the axis for ...

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  16. A line is drawn through the point (1,2) to meet the coordinate axes at...

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  17. If the perimeter of a maximum rectangle is constant , then that rectan...

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  18. The maximum area of the rectangle that can be inscribed in a circle of...

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  19. The triangle of maximum area that can be inscribed in a circle is

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  20. The maximum area of the rectangle that can be inscribed in a circle of...

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