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Prove that equation 2 "cos"^(2) x/2 sin^...

Prove that equation `2 "cos"^(2) x/2 sin^(2) x=x^(2)+x^(-2), 0 lt x le pi/2` has no solution.

A

no real solution

B

one real solution

C

more than one real solution

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If the equation x^(3) - 3x + a = 0 has distinct roots between 0 and 1,...

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  2. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,where ac!=0, then prove that f...

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  3. Prove that equation 2 "cos"^(2) x/2 sin^(2) x=x^(2)+x^(-2), 0 lt x le ...

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  4. Write the number of real roots of the equation (x-1)^2+(x+2)^2+(x-3)^2...

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  5. The roots of the equation log2 (x^2 - 4 x + 5) = (x - 2) are

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  6. Let a ,b ,and c be real numbers such that 4a+2b+c=0 and a b > 0. Then ...

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  7. The value of k for which the equation 3x^(2) + 2x (k^(2) + 1) + k^(2) ...

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  8. If p and q are roots of the quadratic equation x^(2) + mx + m^(2) + a ...

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  9. If one root of the equation ax^2+bx+c=0 is double the other, then the ...

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  10. If e^(cos x) -e^(-cos x) = 4, then the value of cos x, is

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  11. If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the ot...

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  12. If bot the roots of lamda(6x^(2)+3)rx+2x^(2)-1=0 and 6 lamda(2x^(2)+1)...

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  13. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is

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  14. Find the number of quadratic equations, which are unchanged by squarin...

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  15. If the product of the of the equation x^(2) - 3kx + 2e^(2log(e^(k))) =...

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  16. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

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  17. if the difference of the roots of the equation x^(2)-px +q=0 is unity...

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  18. If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the...

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  19. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 ...

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  20. The number of real roots of the equation x^(2)-3|x|+2=0 is

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