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If one root of the polynomial `f(x)=5x^2+13 x+k` is reciprocal of the other, then the value of `k` is (a) `0` (b) `5` (c) `1/6` (d) `6`

A

0

B

5

C

`1//6`

D

6

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If one root of the equation ax^2+bx+c=0 is double the other, then the ...

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  2. If e^(cos x) -e^(-cos x) = 4, then the value of cos x, is

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  3. If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the ot...

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  4. If bot the roots of lamda(6x^(2)+3)rx+2x^(2)-1=0 and 6 lamda(2x^(2)+1)...

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  5. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is

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  6. Find the number of quadratic equations, which are unchanged by squarin...

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  7. If the product of the of the equation x^(2) - 3kx + 2e^(2log(e^(k))) =...

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  8. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

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  9. if the difference of the roots of the equation x^(2)-px +q=0 is unity...

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  10. If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the...

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  11. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 ...

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  12. The number of real roots of the equation x^(2)-3|x|+2=0 is

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  13. If the equation a/(x-a)+b/(x-b)=1has two roots equal in magnitude and ...

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  14. If one of the roots of the equation ax^2 + bx + c = 0 be reciprocal ...

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  15. If sin alpha and cos alpha are roots of the equation px^2 + qx+r=0 th...

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  16. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

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  17. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

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  18. If a and b are two distinct real roots of the polynomial f(x) such th...

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  19. If ax^3+ bx - c is divisible by x^2+bx+c, then 'a' is a root of the ...

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  20. If alpha,beta are the roots of x^2+p x+q=0a n dx^(2n)+p^n x^n+q^n=0a n...

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