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The equation |2x - x^(2) - 3|=1 has...

The equation `|2x - x^(2) - 3|=1` has

A

only real solution

B

no real solution

C

4 real solutions

D

infinite number of real solutions

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. IF 20 ^(3- 2x^2 = ( 40 sqrt(5) ) ^(3x^2-2), then x=

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  2. {x in R: |x-2|= x^(2)}=

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  3. The equation |2x - x^(2) - 3|=1 has

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  4. If |x^(2)| + |x| + 12 = 0, then x =

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  5. The number of real roots of |x^(2)| - 5|x| + 6 = 0 is

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  6. sqrt((x)/(x-3))+ sqrt((x-3)/(x))= (5)/(2), x ne 0, x ne 3 then x=

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  7. If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...

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  8. The number of solutions of the equation |x^2|-3|x|+2=0 is

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  9. The number of real roots of 3^(2x^(2)-7x+7)= 9 is

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  10. The equation e^(sin x)-e^(-sin x)-4=0 has

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  11. The number of real roots of (x+(1)/(x))^(3)+ (x+ (1)/(x))=0

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  12. The number of solutions of the system of equations given below is |x|+...

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  13. The equationx^(2)+ x^(-2)= sin^(2)x . Cos^(2)(x)/(2), 0 gt x lt (pi)/(...

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  14. Assertion (A) : The number of real solutions of the equation sin x = x...

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  15. The number of solutions of the equation |x|= cos x is

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  16. If the equations x^(2) + ax + bc = 0 and x^(2) + bx + ca = 0 have a c...

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  17. If the equation x^(2)+bx-1=0 and x^(2)+x+b=0 have a common root differ...

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  18. If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R, h...

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  19. If every pair from among the equations x^(2)+ax+bc = 0, x^(2)+bx+ ca...

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  20. If x^2 - cx +d =0 , x^2-ax +b=0 have one common root and secon...

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