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If the roots of (x^(2)-bx)/(ax-c)=(k-1)/...

If the roots of `(x^(2)-bx)/(ax-c)=(k-1)/(k+1)` are numerically equal but opposite in sign, then k =

A

c

B

`(1)/(c)`

C

`(a+b)/(a-b)`

D

`(a-b)/(a+b)`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. The roots of the equation x^(2)-2sqrt3 x+3=0 are

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  2. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

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  3. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

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  4. The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(...

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  5. The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2...

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  6. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

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  7. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

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  8. In finding the roots of x^(2) + px + q = 0 the coefficient of x was ta...

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  9. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

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  10. The equation x-(2)/(x-1) =1-(2)/(x-1) has

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  11. If a = 0 then the equation (x-a-1)/(x-a)= (a +1)-(1)/(x-a) has

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  12. If x^(2) + ax + b = 0, x^(2) + bx + a = 0 (a != 0) have a common root,...

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  13. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

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  14. if 2x - 7 - 5x^2 has maximum value at x=a then a=

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  15. The greatest value of (4)/(4x^(2)+4x+9) is

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  16. The smallest value of x^(2) - 3x + 3 in the interval [-3, (3)/(2)] is

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  17. I) The maximum value of c + 2bx -x^(2) is c+b^(2) II) The minimum va...

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  18. If alpha, beta are the roots ax^(2) + bx + c = 0 and k in R. Then the ...

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  19. The least integral value of x for which 33 - x(2 + 3x) gt 0 is

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  20. The set of values of x for which the inequalities x^2 -2x+3 gt ...

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