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In a triangleABC, BD bot CA and CE bot B...

In a `triangleABC`, `BD bot CA` and `CE bot BA`. Prove that `triangleABD-triangleACE`.

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AGRAWAL PUBLICATION-SAMPEL PAPER 13-EXERCISE
  1. Find the coordinates of the points that trisect the line segment joini...

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  2. Find the ratio in which x-axis divides the join of (2,-3) and (5,6)

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  3. In a triangleABC, BD bot CA and CE bot BA. Prove that triangleABD-tria...

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  4. Construct a line segment of length 8 cm. Divide it internally in the r...

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  5. If cosec A = 13/12 then find the value of (2 sin A - 3 cos A)/(4 sin A...

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  6. If the angle of elevation of the top of a tower from a point distant 1...

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  7. If the 6^(th) term and the 11^(th) term of an A.P. are 12 and 22 respe...

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  8. Solve for x and y: 3x-2y = 4 6x-4 = 8

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  9. How many tangents can be drawn to a circle from a point lying inside t...

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  10. Find the degree of the polynomial: (x+1)(x^2-x+x^4-1).

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

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

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

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

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  15. Draw a factor tree for the number 546.

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

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

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

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

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

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