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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-MODEL QUESTION PAPERS-SET 5-EXERCISE
  1. Find the sum of 1 + 5 + 12 + 22 + 35 +….upto n term.

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  2. A straight line passes through A(1, 2) and makes an angle theta with t...

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  3. Find the equations of the lines, which cut-off intercepts on the axes ...

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  4. The equation of circum circle of an equilateral triangle is x^2+y^2+2g...

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  5. A straight line passes through (h, k) and the middle point of the also...

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  6. Evaluate :lim(xrarr0)(tan2x-x)/(3x-sinx)

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  7. From definition, differentiate cos4x at 'x=pi/6,will respect to x.

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

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  9. Show that sqrt7 is an irrational, (use the method of contradiction)

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  10. If the variance of lst.n even natural numbers is 65, find the value of...

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  11. In on examination the probability of a student passed in physics is 2/...

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  12. If p sin (alpha+beta) = cos (alpha -beta), show that1/(1-p sin 2alpha)...

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  13. Solve :sqrt(2cos^2x+1)+sqrt(2sin^2x+1)=2sqrt2

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  14. Exhibit graphically the solution region of the following system of 'in...

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  15. If the roots of the equation qx^2 + 2px + 2q =.0 are real and unequal ...

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  16. Solve:6x^2-(18+5i)x+18+i=0

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  17. Out of 17 comodities 12 are same type and 5 are different type. Find t...

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  18. Show that x = ay^2 + by + c represents the equation of a parabola. Fin...

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  19. Find the following things of an ellipse 9x^2 + 4y^2 + 18x - 16y = 11...

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  20. If S, S' are the foci and' P any point on the rectangular hyperbola x^...

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