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If the equations x^2 + 2x + 3 = 0 and ax...

If the equations `x^2 + 2x + 3 = 0` and `ax^2 + bx + + c = 0` have common root, then a : b : c is _____

A

1 : 2 : 3

B

3 : 2 : 1

C

1 : 3 : 2

D

3 : 1 :2

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UNITED BOOK HOUSE-Quadratic equation in one variable -Exercise
  1. The equation 2x^8 - 5x^4 + 3 = 0 is a quadratic with respect to

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  2. If the equation (4p + 2)^2 - p(p - 1) = 0 is expressed in the from ap^...

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  3. If the equations x^2 + 2x + 3 = 0 and ax^2 + bx + + c = 0 have common ...

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  4. Let a(b - c)x^2 + b(c - a)x + c(a -b) = 0 has two equal roots. The tru...

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  5. The roots of the equation ax^2 - bx + c = 0 are

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  6. Sum of two roots of 2x^2 + ax + 6 = 0 is 5. Then the value of a is

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  7. Two roots of 4x^2 - px + 9 = 0 are equal. Then P equals

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  8. Two roots of 5x^2 + 7x + 3 = 0 are alpha and beta. The value of (alpha...

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  9. Which among the following is a quadratic equation?

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  10. The sum of two roots of x^2 - px + q = 0 is thrice of their difference...

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  11. alpha,beta be the roots of x(x -3) =4. Then (alpha^2 + beta^2) equals

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  12. Two roots of x^2 - (a + b)x + ab = 0 (a, b are rational) are

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  13. If p and q are the two roots of the equation x^2 + px + q = 0, then fi...

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  14. Solve for x : x/x+1 + x+1/x = 34/15

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  15. The hypotenuse of a right angled triangle is 6 cm more than twice the ...

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  16. A moter boat whose speed is 18 km/hr in still water takes 1 hour more ...

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  17. Find two consecutive numbers whose squares have the sum 85

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  18. Solve for x : sqrt3x^2 - 2sqrt2x - 2sqrt3 = 0

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  19. Solve for x : x^2 + x/2 - 1 = 0

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  20. Solve for Z : 36z^2 - 12cz + (c^2 - d^2) = 0

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