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If the equations px^2+2qx+r=0 and px^2+2...

If the equations `px^2+2qx+r=0` and `px^2+2rx+q=0` have a common root then `p+q+4r=`

A

0

B

1

C

2

D

`-2 `

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A
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
  1. The value of k if

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  2. if the difference of the roots of the equation x^(2)+ ax +b=0 is equa...

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  3. If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then...

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  4. If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common r...

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  5. If 1,2,3 are the roots of the equation x^(3) + ax^(2) + bx + c=0 , th...

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  6. Consider that f(x) =ax^(2) + bx +c, D = b^(2)-4ac , then which of the...

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  7. If the minimum value ofx^2+2x+3 is m and maximum value of -x^2+4x+6 is...

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  8. for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval

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

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

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

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

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

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

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

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

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

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

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

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

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