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Find the root of equation 2x^2+3 x + 11=...

Find the root of equation `2x^2+3 x + 11=0.`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Let 0 lt x lt pi, 0 lt y lt pi and cos x+ cos y - cos (x+y)=(3)/(2). ...

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  2. Eliminate x and y from the following equations : a sin ^(2)+ b cos^(2)...

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  3. Find the root of equation 2x^2+3 x + 11=0.

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  4. If a cos theta+ b sin theta= c then find the quadratic equation whose...

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  5. If alpha=(2pi)/(7) then prove that sin alpha sin 2 sin 4 alpha =-(sqrt...

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  6. If A,B,C are the angles of a triangle, show that that greatest value o...

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  7. If A,B,C are the angles of a triangle, find the maximum values of : ...

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  8. If A,B,C are the angles of a triangle, find the maximum values of : ...

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  9. If A,B,C are the angles a triangle, prove that cos A+ cos B+ cos C le ...

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  10. If A,B,C are the angles of a triangle, prove that the maximum value of...

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  11. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  12. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  13. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  14. Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan ...

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  15. Find the minimum values of: "tan"^(2)(A)/(2)+ "tan"^(2) (B)/(2)+"ta...

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  16. Find the minimum values of: cot^(2)A+cot^(2)B+ cot ^(2)C where A,...

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  17. Find the minimum values of: 4sinA+3cosA

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  18. Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"si...

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  19. If A+B+C= pi and "tan" (B+C-A)/(4) "tan" (C+A-B)/(4) *"tan" (A+B-C)/(4...

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  20. Prove that, |{:(6a,a,a),(12b,2b,2b),(9c,c,-2c):}|=0

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