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Prove that if x and y are odd positive i...

Prove that if x and y are odd positive integers , then `x^2 +y^2` is even but not divisible by 4.

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CPC CAMBRIDGE PUBLICATION-PRACTICE QUESTION PAPER 12-ANSWER THE FOLLOWING QUESTION
  1. In sin (A+B) =(sqrt(3))/(2) and cos (A-B)=1, 0 lt A +B lt 90^@ , A ge ...

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  2. The surface area of a sphere is same as the C.S.A of a right circular ...

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  3. Prove that if x and y are odd positive integers , then x^2 +y^2 is eve...

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  4. Solve : 100x + 200 y =700 200x+100 y=800

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  5. Find the roots of the quadratic equation 3x^2 -2sqrt6 x + 2 =0 by for...

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  6. Find the value of x in which the points (1,-1) (x,1) and (4,5) are col...

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  7. ABC is a right angle triangle having angleB=90^@ . If BD=DC, show tha...

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  8. Prove that ara of the equilateral triangle described on the sides of s...

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  9. A box contains 90 dices which are numbered from 1 to 90. If one dise i...

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  10. Draw a pair of tangents to a circle of radius 5 cm which are inclined ...

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  11. Prove that (tan theta + sin theta)/(tan theta - sin theta) =(sec theta...

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  12. Asha is 5 times as old as her daughter Usha, 5 years later Asha will b...

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  13. The sum of 2 digits of a 2 digits number is 12 the number obtained by ...

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  14. Find the other two zeroes of the polynomial y^(4)+y^(3)-9y^(2)-3y+18 i...

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  15. Solve for x . 1/(a+b+x) =(1/a + 1/b + 1/x) (Where a ne 0, b ne 0 , ...

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  16. The diagonal of a rectangular filed is 60 meters more than the shorte...

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  17. If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value o...

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  18. Find the area of Rhombus if its vertices are (3,0) (4,5) (-1,4) and (-...

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  19. Prove the tangents drawn from an external point to a circle are equal.

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  20. Find the area of the shaded region in the figure, where ABCD is a squa...

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