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If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x...

If `(x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 104]|=a x^3+b x^2+c x+d ,` then `a=3` b. `b=0` c.`c=0` d. none of these

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Let D(x)=|{:(x^2+4x-3, 2x+4,13),(2x^2+5x-9,4x+5,26),(8x^2-16x+1, 16x-6, 104):}|=alphax^3+betax^2 + gammax+delta then :

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Let |[x^2+3x,x-1,x+3],[x+1,-2x,x-4],[x-3,x+4, 3x]|=a x^4+b x^3+c x^2+e be an identity in x , where a , b , c , d , e are independent of xdot Then the value of e is (a) 4 (b) 0 (c) 1 (d) none of these

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(...

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  2. The number of triangles that can be formed using the vertices of a 20 ...

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  3. If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 104]...

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  4. Let f: R->R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^x+e^(-x)...

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  5. If vec aa n d vec b are two vectors and angle between them is thet...

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  6. Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is (a)[0,9pi]...

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  7. Let veca and vecc be unit vectors such that |vecb|=4 and vecaxxvecb=2(...

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  8. Given a tetrahedrone D-ABC with AB=12,CD=6. If the shortest distance b...

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

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

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

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

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

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

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

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

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

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

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

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