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Fill in the blanks If the quadratic equations `x^2+a x+b=0a n dx^2+b x+a=0(a!=b)` have a common root, then the numerical value of `a+b` is ________.

A

1

B

0

C

-1

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If the expression x^(2) - 11x + a and x^(2) - 14 x + 2a have a common ...

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  2. If a,b,c are in GP, show that the equations ax^(2)+2bx+c=0 and dx^(2)+...

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  3. Fill in the blanks If the quadratic equations x^2+a x+b=0a n dx^2+b x+...

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  4. Find the values of a for which the roots of the equation x^2+a^2=8x+6a...

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  5. If the sum of the roots of the equation (a+1)x^2=(2a+3)x+(3a+4)=0 is -...

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  6. If one root of the equation (k-1)x^(2) - 10x+ 3 = 0 is the reciproca...

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  7. If b1. b2=2(c1+c2) then at least one of the equation x^2+b1x+c1=0 and ...

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  8. Solve |x^2+4x+3|+2x+5=0.

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  9. For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3...

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  10. If 2+sqrt(3)i is a root of the equation x^2+p x+1=0 , then write the v...

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  11. If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!...

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  12. Root of the quadratic equation x^2+6x-2=0

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  13. If sum of the roots of ax^(2)+bx+c=0 is equal to the sum of the square...

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  14. For real x , the function (x-a)(x-b)//(x-c) will assume all real value...

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  15. If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...

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  16. If the roots of the equation a x^2+2b x+c=0 and b x^2-2sqrt(a c) x+b=0...

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  17. If a, b, c are real and x^3-3b^2x+2c^3 is divisible by x -a and x - b,...

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  18. if p and q are non zero constants, the equation x^2+px+q=0 has roots ...

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  19. The equation x^((3)/4 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :

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  20. cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0, then the va...

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