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The value of lambda for which the equati...

The value of `lambda` for which the equation `lambda^2 - 4lambda + 3+ (lambda^2 + lambda -2)x + 6x^2 - 5x^3 =0` will have two roots equal to zero is

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A DAS GUPTA-Some New Pattern Problems-Exercise
  1. Let a = b (mod n), a'= b' (mod n) and d, m in N. Then which of the f...

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  2. If 5x = 3(mod 7) then find x

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  3. The value of lambda for which the equation lambda^2 - 4lambda + 3+ (la...

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  4. The value of (lambda, mu) for which (lambda - mu) x^3 - (lambda - 2) x...

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  5. The combined equation of asymptotes to the hyperbola x^2 + 4xy + 3y^2...

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  6. 17^22 - 1 is a multiple of

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  7. The highest power of 7 which divides 1000 ! is

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  8. The equation of conjugate hyperbola of x^2/8 - 3y^2/8 =1

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  9. The parabola circumscribing /\ABC and passing through the point (4, 4)...

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  10. The parabola circumscribing /\ABC{(0,0), (4,4), (4,-4)} and passing th...

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  11. If A = (2, (3sqrt3/2)) then coordinates of C taken mirror image along...

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  12. If the equation of the diameter AB is x = y then the equation of the c...

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  13. The equations of the line QR are where Q (3, 6, 3) , R(18, 43, 13)

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  14. The distance of the centre of the sphere x^2 + y^2 + z^2 - 2x - 4y = 0...

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  15. The radius of the circle of intersection of the sphere x^2 +y^2 +z^2=9...

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  16. The area of the sphere x^2 + y^2 + z^ 2 = 25 is

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  17. If P(ui)) oo i , where i = 1, 2, 3, . . ., nthen lim(nrarrw) P(w) is ...

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  18. There are n urns each containing (n + 1) balls such that the i^(th) ur...

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  19. The set of values of p inR for which x^2 +px+ 1/4 (p+2)ge 0 for allx ...

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  20. The set of values of p in R for which the equation x^2 +px+ 1/4 (p+2)...

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