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Prove the following by contradiciton ."T...

Prove the following by contradiciton ."The sum of a rational and an irrational number is an irrational number?".

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2016-EXERCISE
  1. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

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  2. Find the equation of the circle passes through the points (4,3) and (-...

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  3. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  4. Find the value of cos B for the triangle formed by joining the points ...

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  5. Evlauate lim(xrarr0)(cot2x-cosec2x)/x

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  6. Find from the first principle,the derivative of f(x)=e^(x^2)at x=1.

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  7. Prove the following by contradiciton ."The sum of a rational and an ir...

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  8. Check the validity of the following compound propostions :"72 is a mul...

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  9. Check the validity of the following compound propostions :"120 is a mu...

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  10. Two students Anil and Ashima appeared is an examination. The probabili...

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  11. Find the coefficient of variation of the following data:

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  12. Find the general solution of x and y satisfying the equation 5sinx.cos...

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  13. Find the domain of definition and range of the function f(x)=x/(1+x^2)...

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  14. If f(x)=ax^2+bx+cand f(2)=1,f(3)=6,f(-1)=10,then find the value of f(1...

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  15. If z=x+iy and |z-1|+|z+1|=4,then show that 3x^2+4y^2=12,where i=sqrt-1

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  16. In how many ways can 6 boys and 4 girls be seated in a round table so ...

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  17. If a1,a2,a3,...,anare in A.P then show that 1/(a1a2)+1/(a2a3)+1/(a3a4)...

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  18. Solve :(|x|-2)/(|x|-3)ge0,where x in R and x!=+-3

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  19. If the extremitied of a focal chord of the parabola y^2=4axbe (at1^2,2...

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  20. The number of tangents that can be drawn from the point (6, 2) on the ...

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