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If alpha,beta are the roots of the quadr...

If `alpha,beta` are the roots of the quadratic equation `x^2-(a-2)x-(a+1)=0` , where a is a variable, then the least value of `alpha^2+beta^2` is

A

3

B

5

C

7

D

none

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  4. The value of a so that the sum of the squares of roots of the equation...

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

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

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

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

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

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

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

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

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

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

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