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Prove that (cot theta + "cosec" theta ...

Prove that
`(cot theta + "cosec" theta -1 )/(cot theta - "cosec" theta +1)=(1+ cos theta)/(sin theta).`

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AGRAWAL PUBLICATION-SAMPLE PAPER 9-EXERCISE
  1. State and prove the Pythagoras theorem.

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  2. The annual rainfall record of a city for 66 days is given below in the...

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  3. Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" thet...

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  4. Prove that (tanA)/((1-cotA))+(cotA)/((1-tanA))=(1+tanA+cotA).

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  5. If the sum of the zeros of the polynomial 2x^(2)+3kx+3 is 6, then find...

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  6. When a pair of linear equations is said to be inconsistent?

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  7. Find the roots of the quadratic equation (3x-5)(x+3)=0.

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  8. Find the sum of natural numbers from 51 to 100.

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  9. Find the 8^(th) term from the end of the A.P..-12,-7,-2, …,68

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  10. How many terms of AP: 18, 16, 14, … make the sum zero?

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  11. For what value of a is -4 zero of the polynomial p(x)=x^(2)-x-(2a+2)?

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  12. If A(6,2),B(4,2)andC(6,4) are the vertices of DeltaABC, then find the ...

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  13. The base PQ of two equilateral triangles PQR and PQR with side 2a lies...

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  14. In a DeltaABC, if DE is parallel to BC, (AD)/(DB)=(3)/(4) and AC = 15 ...

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  15. If the bisector of an angle of a triangle bisects the opposite side...

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  16. Draw a line segment of length 7 cm and divide it in the ratio 2:3.

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  17. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

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  18. Write the formula for the area of a sector of angle theta (in de...

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  19. If the perimeter of a semicircular protractor is 36cm, find its diamet...

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  20. If P(E) = 0.005, then find the probability of ''not E'.

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