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If costheta[(costheata, sintheta), (-sin...

If `costheta[(costheata, sintheta), (-sintheta, costheta)]+sintheta[(x, -costheta), (costheta, x)]=I_(2)`. Find x.

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SURA PUBLICATION-ALGEBRA-Unit Exercise-3
  1. Find the least number common multiple of xy(k^(2)=1)+k(x^(2)+y^(2)) an...

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  2. Find the GCD of following by division algorithm 2x^(4)+13x^(3)+27x^(2)...

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  3. Reduce the given Rational expression to its lowest form (x^(3a)-8)/(...

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  4. Reduce the given Rational expression to its lowest form (10x^(3)-25x...

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  5. Simplify ((1)/(p)+(1)/(q+r))/((1)/(p)-(1)/(q+r))times[1+(q^(2)+r^(2)-p...

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  6. Arul, Ravi, and Ram working together can clean a store in 6 hours. Wor...

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  7. Find the square root of 289x^(4)-612x^(3)+970x^(2)-684x+361.

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  8. Solve sqrt(y+1)+sqrt(2y-5)=3.

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  9. A boat takes 1.6 hours longer to go 36kms up a river than down the riv...

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  10. Is it possible to design a rectangular park of perimeter 320m and area...

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  11. At t minutes past 2pm, the time needed to 3 pm is 3minutes less than (...

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  12. The number of seats in a row is equal to the total number of rows in a...

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  13. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

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  14. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

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  15. If -4 is a root of the equation x^(2)+px-4=0 and if the equation x^(2)...

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  16. Two farmers and Ravi cultivates three varieties of grains namely rice...

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  17. Two farmers and Ravi cultivates three varieties of grains namely rice...

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  18. If costheta[(costheata, sintheta), (-sintheta, costheta)]+sintheta[(x,...

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  19. Given A=[(p, 0), (0, 2)], B=[(0, q), (1, 0)], C=[(2, -2), (2, 2)] and ...

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  20. A=[(3, 0), (4, 5)], B=[(6, 3), (8, 5)], C=[(3, 6), (1, 1)] find the ma...

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