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If the roots of the equation a(b - c)^(2...

If the roots of the equation `a(b - c)^(2) + b (c - a) x + c (a - b) = 0` are equal, show that `2//b = 1//a + 1//c`

A

H.P.

B

G.P.

C

A.P.

D

none of these

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A
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  2. 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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  3. If the roots of the equation a(b - c)^(2) + b (c - a) x + c (a - b) =...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The number of real roots of the equation 2x^(4) + 5x^(2) + 3 = 0, is

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  18. If x, a, b, c are real and (x-a+b)^(2)+(x-b+c)^(2)=0, then a, b, c are...

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  19. If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are e...

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  20. If a, b,c are all positive and in HP, then the roots of ax^2 +2bx +c=0...

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