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A variable straight line passes through the point of intersection of the staright lines x/a+y/b=1 and x/b+y/a=1 and intersects the axes at P and Q.Find the locus of mid-point of Pq.

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2018-EXERCISE
  1. If the coefficients of 2nd,3rd and 4th terms in the (1+x)^(2n)are in A...

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  2. (2a,0) and (0,a) are the extremities of the base of an isosceles trian...

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  3. A variable straight line passes through the point of intersection of t...

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  4. The abscissae of two points A and B are the roots of the equation x^2+...

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  5. If 2f(x)+f(-x)=1+x,find f'(10),where f'(x) denote derivative of f(x).

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  6. Evaluate lim(xrarrpi//4)(4sqrt2-(cosx+sinx)^5)/(1-sin2x)

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  7. Write the negation of each of the following statements:p:for every rea...

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  8. Write the negation of each of the following statements:q:For every rea...

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  9. "Mathematics is fun"check whether this sentence is a statement .

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  10. p: If x is a real number such that x^3+4x=0,then x=0,prove that p is t...

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  11. p: If x is a real number such that x^3+4x=0,then x=0,prove that p is t...

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  12. A bag contains 5 white and 4 black balls.If 3 balls are drawn at rando...

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  13. The arithmetic mean and standard deviation of 7 observations are respe...

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  14. Prove that if x=a(costheta+sin thetasin2theta)and y=a(sintheta+costhet...

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  15. Show that 3{sin^4((3pi)/2-alpha)+sin^4(3pi+alpha)}-2{sin^6(pi/2+alpha)...

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  16. Draw the graph of the solution set of the inequations 2x+yge2,x-yle1,x...

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  17. Find the number of permutations and the number of combinations in the ...

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  18. Find the sum of the integers between 90 and 890 which are perfect squa...

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  19. If z1and z2be two non-zero complex numbers such that |z1+z2|=|z1|+|z2|...

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  20. The directrix of a parabola is x+y+4=0and vertex is at (-1,-1).Find th...

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