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If a, b, c are integers and `b^2=4(ac + 5d^2)`, `d in N`, then roots of the quadratic equation `ax^2+bx+ c = 0` are

A

Irrational

B

Rational & defferent

C

Complex conjugate

D

Rational & equal

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The correct Answer is:
A
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MOTION-QUADRATIC EQUATION-EXERCISE -1 (OBJECTIVE PROBLEMS)
  1. Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^...

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  2. If alpha, beta are the roots of quadratic equation x^2 + px + q =0 th...

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  3. If a, b, c are integers and b^2=4(ac + 5d^2), d in N, then roots of th...

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  4. Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. ...

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  5. The expression y = ax^2+ bx + c has always the same sign as of a if

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  6. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

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  7. If both roots of the quadratic equation (2-x) (x + 1) = p are distin...

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  8. If the equations k(6x^2+3)+rx+2x^2-1=0 and 6k(2x^2+1)+px+4x^2-2=0 have...

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  9. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

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  10. The equations x^2 +5x^2 +px +q=0 and x^3+ 7xa+ px+ r =0have two roots ...

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  11. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3K x^2...

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  12. If the roots of the equation x^(3)+Px^(2)+Qx-19=0 are each one more th...

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  13. If the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, f...

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  14. Q. If (6x^2-5x-3)/(x^2-2x+6)<=4, then the least and the highest values...

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  15. which of the following graph represents the expression f(x) = ax^2 + b...

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  16. Let f(x)=x^(2)+4x+1, then

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  17. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

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  18. The equation pi^x=-2x^2+6x-9 has

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  19. Find the values of k so that the quadratic equation x^2+2(k-1)x+k+5=0 ...

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  20. If the inequality (m-2)x^(2)+8x+m+4gt0 is satisfied for all x epsilon ...

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