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Show that the points (-4, 0). (6, 4), (5...

Show that the points (-4, 0). (6, 4), (5, 0)and (0, -2) form a trapezium. Find the equations of its two diagonals and also find the angle (acute) between the two diagonals.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 15-EXERCISE
  1. How many different numbers of 5 digits each (without repetition of dig...

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  2. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

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  3. Show that the points (-4, 0). (6, 4), (5, 0)and (0, -2) form a trapezi...

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  4. If p and q are the lengths of perpendiculars from the origin to the li...

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  5. Find the equation to the circle described on the common chord of the g...

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  6. Find the ratio in which the ZX plane divides the line segment joining ...

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  7. Evaluate :lim(xrarr0)(x-sinx)/x^3

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  8. If y=sinx^@.find dy/dx from defination.

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  9. Prove that sqrt2 irrational, (use the method of contradiction).

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  10. If x and y are odd integers, then xy is also an odd integer r examine ...

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  11. The probability of' the solving a problems in mathematics of three stu...

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  12. Scores of a batsman of 5 consecutive inings are 39, 51, 59, 62 and 74....

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  13. If alpha!=betaand atanalpha+b tanbeta=(a+b)tan((alpha+beta)/2),then sh...

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  14. Show that tanalphatanbeta=tan^2gammawhen tan(alpha-beta)/tanalpha+sin^...

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  15. Sum of the square of three different terms, which are in GP is s^2. If...

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  16. Draw the graph and find the common solution region of the . following ...

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  17. Solve.sqrt3x^2-sqrt2x+3sqrt3=0

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  18. If the roots of the quadratics x^2 - qx +p = 0 and x^2 - px + q = 0 (p...

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  19. Find the equation of a hyperbola whose eccentricity is 5/4 and the. co...

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  20. The co-ordinates of focus and its nearest vertex of an ellipse are (3,...

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