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Find the value of k such that the equati...

Find the value of k such that the equation `x^(2)-(k+6)x+2(2k-1)=0` has sum of the roots equal to half of their product :

A

3

B

4

C

7

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-THEORY OF EQUATIONS-INTRODUCTORY EXERCISE - 14.1
  1. The equal x^(2)-px+q=0, p,q, in R has no real roots if :

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  2. Determine the value of k for which the quadratic equation 4x^(2)-3kx+1...

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  3. Find the value of k such that the equation x^(2)-(k+6)x+2(2k-1)=0 has ...

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  4. Find the value of k so that the sum of the roots of the quadratic equa...

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  5. If -4 is a root of the quadratic equation x^(2)-px-4=0 and the quadrat...

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  6. Find the value of k such that the sum of the squares of the roots of t...

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  7. Find the value of p for which the quadratic equation x^(2)+p(4x+p-1)+2...

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  8. If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the...

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  9. If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the...

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  10. Find the quadratic equation whose roots are sqrt3 and 2sqrt3 :

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  11. If alpha and beta are the roots of equation 6x^(2)+x-2=0, find the val...

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  12. If a and c are such that the quadratic equation ax^(2)-5x+c=0 has 10 a...

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  13. If alpha and beta are the roots of the equation x^(2)-x-4=0, find the ...

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  14. If alpha and beta are the roots of the equation x^(2)-2x-1=0. Find the...

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  15. If alpha and beta are the roots of x^(2)-x-2=0, find the quadratic equ...

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  16. If alpha, beta be the roots of the quadratic equation 3x^(2)-6x+4=0, f...

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  17. If alpha, beta be the roots of the quadratic equation x^(2)-5x+k=0, fi...

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  18. If one root of the quadratic equation ax^(2)+bx+c=0 is double the othe...

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  19. The length of a hypotenuse of a right triangle exceeds the length of i...

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  20. A two digit number is such that the product of its digits is 12. When ...

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