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If `p ,q ,r` are positive and are in A.P., the roots of quadratic equation `p x^2+q x+r=0` are all real for `|r/p-7|geq4sqrt(3)` b. `|p/r-7|geq4sqrt(3)` c. `a l lpa n dr` d. `nopa n dr`

A

`|(r)/(p)-7|ge 4 sqrt(3)`

B

`|(p)/(r)-7|lt 4 sqrt(3)`

C

all p and r

D

no p and r

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  2. If p and q are the roots of x^2 + px + q = 0, then find p.

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  3. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

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  4. If two equation a(1) x^(2) + b(1) x + c(1) = 0 and, a(2) x^(2) + b(2) ...

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  5. The value of p for which the difference between the roots of the equat...

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  6. If f(x)=2x^3+mx^2-13x+n and 2 and 3 are 2 roots of the equations f(x)=...

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  7. If the roots of the equation a(b - c)^(2) + b (c - a) x + c (a - b) =...

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  8. If 7^(log 7(x^(2)-4x + 5))=x - 1, x may have values

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  9. If alpha, beta are roots of ax^(2) + bx +c =0, then the equatin whose...

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  10. For the equation |x^2|+|x|-6=0 , the sum of the real roots is 1 (b) 0...

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  11. Q. Two students while solving a quadratic equation in x, one copied th...

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  12. If 8, 2 are roots of the equation x^2 + ax + beta and 3, 3 are roots o...

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  13. If one root of x^(2) - x - k = 0 is square of the other, then k =

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  14. If a and b are the odd integers, then the roots of the equation, 2ax^2...

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  15. Find the values of p for which both the roots of the equation 4x^2 - 2...

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  16. The value of 'c' for which |alpha^(2) - beta^(2)| = 7//4, where alpha ...

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  17. The value of m for which one of the roots of x^(2) - 3x + 2m = 0 is do...

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  18. The equations ax^(2) + bz + a =0, x^(3) -2x^(2) +2x -1 =0 have tow roo...

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  19. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

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  20. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

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