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For a rhombus ABCD, prove that 4AB^2= AC...

For a rhombus ABCD, prove that `4AB^2= AC^2+BD^2`.

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For a rhambus ABCD , prove that 4 AB ^(2) = AC^(2) + BD^(2)

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AGRAWAL PUBLICATION-SAMPEL PAPER 13-EXERCISE
  1. Find the degree of the polynomial: (x+1)(x^2-x+x^4-1).

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  2. If r = 3 is a root of quadratic equation kr^2-kr-3=0, then find the va...

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  3. For a rhombus ABCD, prove that 4AB^2= AC^2+BD^2.

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  4. Two different dice are thrown together. Find that the probability of g...

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  5. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at ...

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  6. Draw a factor tree for the number 546.

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  7. The angles of a triangle are in A.P. the least being half the greatest...

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  8. What number should be added to the polynomial x^2-5x+4 so that 3 is th...

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  9. Evaluate : 3cos^260^@ sec^2 30^@-2 sin^2 30^2 tan^2 60^2

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  10. A heap of rice is in the form of a cone of base diameter 24 m and heig...

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  11. Knowing that sqrt5 is an irrational number, show that 3+2sqrt5 is an i...

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  12. Using elimination method, solve for x and y the following pair of equa...

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  13. A circular pond is of diameter 17.5m. It is surrounded by a 2m wide pa...

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  14. A chord of a circle of radius 12 cm subtends an angle of 120^@ at the ...

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  15. Let s denote the semi-perimeter of a triangle ABC in which BC = a , CA...

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  16. All the blakc face cards are removed from a pack of 52 playing cards. ...

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  17. All the blakc face cards are removed from a pack of 52 playing cards. ...

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  18. All the blakc face cards are removed from a pack of 52 playing cards. ...

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  19. All the blakc face cards are removed from a pack of 52 playing cards. ...

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  20. The distribution below gives the makes of 100 students of a class. If ...

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