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Are the planes 2x-y+4z=5 and 5x-25y+10z=...

Are the planes `2x-y+4z=5` and `5x-25y+10z=6` are perpendicular?

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. In triangle ABC, find vec(AB)+vec(BC)+vec(CA)

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  2. Let the vectors veca and vecb such that abs(veca)=3 and abs(vecb)=frac...

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  3. Are the planes 2x-y+4z=5 and 5x-25y+10z=6 are perpendicular?

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  4. Find fog(2) and gof(1), when f:RrightarrowR defined by f(x)=x^2+8 and ...

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  5. Solve cos^(-1)x+sin^(-1)frac[x][2]=frac[pi][6].

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  6. Solve LPP: Maximize Z=5x1+7x2 subject to the constrains 3x1+4x2le12,x1...

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  7. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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  8. Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...

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  9. Express A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a symmetric and...

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  10. Using the properties of determinants, show that abs[[1+a^2-b^2,2ab,-2b...

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  11. If A=[{:(costheta,sintheta),(-sintheta,costheta):}], then prove that ...

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  12. Find the minimum value of abs[[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+...

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  13. Find the values of x and y such that [{:(3x+7,5),(y+1, 2-3x):}]=[{:(0,...

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  14. Discuss the continuity of the function defined by f(x)={[x+1, if xle1]...

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  15. Differentiate the functions w.r.t x x^(xcosx)+frac[x^2+1][x^2-1]

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  16. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  17. Find the intervals in which the function f given by f(x)=sinx+cosx, 0l...

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  18. If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)), then fin...

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  19. Find the integral intfrac[x^3sin(tan^(-1)x^4)][1+x^8]dx

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  20. Find the integral intfrac[x+3][(5-4x+x^2)]dx

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