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The roots alpha and beta of the quadrati...

The roots `alpha and beta` of the quadratic equation `px^(2) + qx + r = 0` are real and of opposite signs. The roots of `alpha(x-beta)^(2) + beta(x-alpha)^(2) = 0` are:

A

positive

B

negative

C

ral and of opposite sign

D

imaginary

Text Solution

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The correct Answer is:
C
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VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  11. The number of all values of n, (whre pi is a whole number ) for which ...

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  12. The number of negative intergral values of m for which the expression ...

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  13. If the expression ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...

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  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

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  15. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

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  16. The sum of all real values of k for which the expression x ^(2)+2xy +k...

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  17. The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...

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  18. Find the number of integral vaues of 'a' for which the range of functi...

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  19. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

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  20. Let p(x)=0 be a polynomial equation of the least possible degree, with...

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