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A line segment of length 8cm is divided ...

A line segment of length 8cm is divided into two parts AP and PB by a point P. If `AP^2+PB^2` is minimum then AP=

A

P is the midpoint of AB

B

P is a point of trisection of AB

C

P divides AB in the ratio 1:3

D

none

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. A (0,a) ,B(0,b) be fixed points , P(x,0) a variable point. The angle a...

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  4. ABCD is rectangle in which AB= 9cm , BC =6 cm . P is a point in CD suc...

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  7. Find the triangle of the greatest area among the right triangles of a ...

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  8. The maximum area of triangle formed by a tangent line to the curve x^(...

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  9. The sum of the hypotenuse and a side of a right angled triangle is con...

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  10. Two sides of a triangle is given . If the area of a triangle is maximu...

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  11. A triangular park is enclosed on two sides by a fence and on the third...

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  12. The point P in the first quadrant of the ellipse x^2//8 +y^2//18 =1 so...

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  13. A straight line through the point (3,4) in the first quadrant meets th...

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  14. Through the point (2,3) ,a straight line is drawn making, positive int...

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  15. The perimeter of a sector is given. The area is maximum when the angle...

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  16. If the perimeter of a sector of a circle is constant then find the ang...

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  18. A wire of length 20 cm can be bent in the form of a sector then its ma...

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  19. A box is made from a piece of metal sheet 24 cms square by cutting equ...

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