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The values of lambda and b for which the...

The values of `lambda` and b for which the equations `x+y+z=3`, `x+3y+2z=6`, and `x+lambday+3z=b` have

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Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 2x-y+3z=0 7x+lambday-z=0 has non-trivial solutions. Find the solution.

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. Given a tetrahedrone D-ABC with AB=12,CD=6. If the shortest distance b...

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  3. The values of lambda and b for which the equations x+y+z=3, x+3y+2z=...

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  4. Let f : R ->R defined by f(x) = min(|x|, 1-|x|), then which of the fol...

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  5. The x-y plane is rotated about its line of intersection with the y-...

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  6. The domain of the function f(x)= cos^(-1)(x+[x]) is

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  7. Let vec v1= hat i+ hat j+ hat k & vec v2=a hat i+b hat j+c hat k be tw...

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  8. If f:[0,2pi]vec[-1,1]; y=sin x then which of statement is/are true: y=...

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  9. The complete set f values of ' a ' for which (a^2-1)x^2+2(a-1)x+2 is...

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  10. The straight line passing through the point of intersection of the str...

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  11. A person starts writing numbers from 1 to n in a row such that i^(t h)...

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  12. If theta=pi/3, then the volume of pyramid is 1/(sqrt(3)) (b) 1/(3sqrt...

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  13. Projection of a line segment joining points (-1, 0, 3) and (2, 5, 1) o...

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  14. The chord of contact of tangents from a point P to a circle passes thr...

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  15. Locus of centroid of the triangle whose vertices are (acost ,asint),(b...

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  16. Consider the line L:(x-1)/2=y/1=(z+1)/(-2) and a point A(1, 1, 1). Let...

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  17. If one root of the equation x^(2)-lamdax+12=0 is even prime while x^(2...

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  18. Consider the points P(2,-4);Q(4,-2) and R(7,1). The points P,Q,R

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  19. If plambda^4+qlambda^3+rlambda^2+slambda+t=lambda^2+3lambdalambda-1lam...

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  20. If (4+sqrt(15))^n=I+f,where n is an odd natural number, I is an intege...

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