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The number of values of a for which the ...

The number of values of a for which the system of equations `2^(|x|)+|x|=y+x^(2)+a` and `x^(2)+y^(2)=1` has only one solution where a,x,y are real, is

A

1

B

2

C

finitely many but more than 2

D

infinitely many

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-MISCELLANEOUS EQUATIONS AND INEQUATIONS -Chapter Test
  1. Total number of solutions of the equation sin pi x=|ln(e)|x|| is :

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  2. The number of roots of the equation [sin^(-1)x]=x-[x], is

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  3. The number of values of a for which the system of equations 2^(|x|)+|x...

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  4. The number of real solutions (x, y, z, t) of simultaneous equations 2y...

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  5. If the sum of the greatest integer less than or equal to x and the lea...

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  6. If x,y and z are real such that x+y+z=4, x^(2)+y^(2)+z^(2)=6, x belong...

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  7. Consider the equation : x^(2)+198x+30=2sqrt(x^(2)+18x+45)

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  8. x^(8)-x^(5)-(1)/(x)+(1)/(x^(4)) gt 0, is satisfied for

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  9. The number of solutions of the equation ((1+e^(x^(2)))sqrt(1+x^(2)))...

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  10. The number of real roots of the equation 1+a(1)x+a(2)x^(2)+………..a(n)...

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  11. Let a,b be integers and f(x) be a polynomial with integer coefficients...

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  12. Let Pn(ix) =1+2x+3x^2+............+(n+1)x^n be a polynomial such that...

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  13. Let Pn(x) =1+2x+3x^2+............+(n+1)x^n be a polynomial such that ...

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  14. Let Pn(ix) =1+2x+3x^2+............+(n+1)x^n be a polynomial such that...

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  15. The number of negative real of x^(4)-4x-1=0, is

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  16. Find the number of positive real roots of x^4-4x-1=0

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  17. The number of negative real of x^(4)-4x-1=0, is

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  18. Let f(x) be defined by f(x) = x- [x], 0!=x in R, where [x] is the grea...

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  19. The complete set of values of x satisfying the equation x^(2)*2^(x+1)+...

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  20. The numebr of solution (s) of the inequation sqrt(3x^(2)+6x+7)+sqrt(...

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