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Find the least integral value of k for w...

Find the least integral value of k for which the equation `x^(2)-2(k+2)x+12+k^(2)=0` has two different real roots.

A

0

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
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  2. for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval

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  3. If one root of equation (l-m) x^2 + lx + 1 = 0 be double of the other ...

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  4. if p,q,r are real numbers satisfying the condition p + q +r =0 , then ...

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  5. The roots of the equation x^(3) -2x^(2) -x +2 =0 are

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  6. IF alpha , beta are the roots of the equation x^2+2ax +b=0 , the...

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  7. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

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  8. Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,the...

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  9. If p + iq be one of the roots of the equation x^(3) +ax +b=0 ,then 2...

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  10. If a(1),a(2),a(3),a(4),,……, a(n-1),a(n) " are distinct non-zero real...

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  11. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

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

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  13. The number of irrational roots of the equation (x-1) (x-2) (3x-2) (...

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  14. consider the following statement S(1) : If x is in radian and 2sin^(...

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  15. If a,b are real, then the roots of the quadratic equation (a-b)x^(2)-5...

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  16. If alpha, beta are the roots of the equation ax^(2) -bx +c=0 then eq...

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  17. If a, b, c are in GP, then the equations ax^2 +2bx+c = 0 and dx^2 +2ex...

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  18. Find the least integral value of k for which the equation x^(2)-2(k+2)...

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  19. The roots x(1) and x(2) of the equation x^(2) +px +12=0 are such tha...

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  20. If a lt b lt c lt d, then for any real non-zero lambda, the quadratic...

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