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if tan theta = 12/13, evaluate (2 sin th...

if `tan theta = 12/13`, evaluate `(2 sin theta cos theta)/(cos^2 theta- sin^2 theta)`

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AGRAWAL PUBLICATION-Sample paper 13-EXERCISE
  1. If n is a positive odd integar, then show that n^2 - 1 is divisible by...

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  2. Check whether 15^n can end with digit zero for any natural number n.

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  3. Show that the roots of the quadratic equation: (b-c)x^2 + (c-a)x + (a...

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  4. If P(5,7), Q(x,-2) and R(-3,y) are collinear points such that PR=2PQ, ...

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  5. Prove that the diagonals of a rectangle with vertices (0,0), (a,0),(a,...

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  6. Draw a line segment AB of length 7 cm . Locate a point R on AB such th...

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  7. The sum of circumferences of two circles os 132 cm. If tha radius of o...

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  8. In a car park, there are 125 cars, 3p otorbikes, 2q lorrie and 20 buse...

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  9. Find the HCF and the LCM of 72 and 120 , using prime factorisation met...

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  10. Express the length of a side of the n^(th) frame in terms of x and n.

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  11. Find the value of x.

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  12. A piece of wire is 99 cm long. It is cut bent into a frame in the sequ...

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  13. If the roots of the equation x^2+2cx + ab +0 are real and unequal, pro...

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  14. Let A(4,2), B(6,5) and C(1,4) be the verticles of triangleABC. The med...

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  15. if tan theta = 12/13, evaluate (2 sin theta cos theta)/(cos^2 theta- s...

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  16. If sec theta + tan theta = m, prove that (m^2 + 1)/(m^2- 1) = sin thet...

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  17. A sphere of diameter 6 cm is dropped in a right circular cylinderical ...

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  18. From the first floor of Qutab Minor, which is at a height of 25 m from...

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  19. Prove that the line segments joining the mid-pointd of the sides of a ...

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  20. A piece of cloth costs Rs. 35. If the piece were 4m longer and each me...

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