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The equation x^(2)+x+a=0 and x^(2)+ax+1=...

The equation `x^(2)+x+a=0 and x^(2)+ax+1=0` have a common real root

A

for no value of a

B

for exactly one value of a

C

for exactly two values of a

D

for exactly three values of a

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. Six numbers are in A.P in A.P such that their sum is 3. the first term...

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  2. The sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+(...

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  3. The equation x^(2)+x+a=0 and x^(2)+ax+1=0 have a common real root

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  4. If 64,27, 36 are the p^(th) , Q^(th) and R^(th) terms of a G.P. then P...

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  5. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then the value of x^(9)+y^...

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  6. Let p,q,r be the sides opposite to the angles P,Q, R respectively in a...

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  7. Let p,q,r be the sides opposite to the angles P,Q, R respectively in a...

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  8. Let P (2,-3), Q(-2, 1) be the vertices of the triangle PQR. If the cen...

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  9. lim(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)

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  10. If f is a real- valued differentiable function such that f(x)f'(x) lt ...

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  11. Rolle's theorem is applicable in the interval [-2,] for the function

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  12. The solution of 25(d^(2)y)/(dx^(2))-10(dy)/(dx)+y=0, y(0)=1, y(1)=2e^(...

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  13. Let P be the midpoint of a chord joining the vertex of the parabola y^...

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  14. The line x=2y intersects the ellipse (x^(2))/(4)+y^(2)=1 at the points...

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  15. The eccentric angle in the first quadrant of a point on the ellipse (x...

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  16. The transverse axis of hyperbola is along the x-axis and its length is...

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  17. A point moves in such a way that the difference of its distance from t...

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  18. The number of integer values of m, for which the x-coordinates of the ...

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  19. If a straight line passes through the point (alpha, beta) and the port...

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  20. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

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