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If sintheta and costheta are roots of eq...

If `sintheta` and `costheta` are roots of equation `ax^(2) + bx + c =0`, then

A

rational numbers

B

real and negative

C

negative real parts

D

none of these

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The correct Answer is:
C
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
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  2. The difference of maximum values of the expressions (6 + 5x - x^(2)) ...

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  3. If sintheta and costheta are roots of equation ax^(2) + bx + c =0, the...

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  4. The equation 3^(x-1)+5^(x-1)=34 has

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  5. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

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  6. The values of the parameter a for which the quadratic equations (1 – 2...

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  7. The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^...

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  8. The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 ma...

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  9. The condition that x^(3)-ax^(2)+bx-c=0 may have two of its roots equal...

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  10. If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unit...

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  11. The number of real solutions of x-1/(x^2-4)=2-1/(x^2-4) is equal to

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  12. The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2...

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  13. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

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  14. The quadratic equation ax^(2)+bx+c=0 has real roots if:

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  15. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

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  16. p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...

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  17. The set of values of p for which the expression x^(2) −2px+3p+4...

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  18. For a<0, deterine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  19. The average of five consecutive even numbers is 40. What is the smalle...

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  20. Solve : (5+2sqrt6)^(x^(2)-3) +(5-2sqrt6)^(x^(2)-3) = 10

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