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Show by vector method that the four poin...

Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1, 2, -4) and (-12, -1, -3) are coplanar.

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2019-PREVIOUS YEAR QUESTION
  1. Obtain the general solution of the following differential equations. (...

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  2. Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx

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  3. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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  4. Find the equation of a plane which is at a distance 3 units from the o...

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  5. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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  6. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  7. Find the unit vector in the direction of the vector vecr1-vecr2, where...

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  8. Find the inverse of the following matrices using elementary transforma...

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  9. Out of the adult population in a village 50% are farmers, 30% do busin...

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  10. Examining consistency and solvability, solve the following equation by...

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  11. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

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  12. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

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  13. Evaluate the following integrals int(dx)/(2cos^2x+3cosx)

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  14. Solve y^(2)+x^(2)dy/dx=xydy/dx.

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  15. Determine the area common to the parabola y^2=x and the circle x^2+y^2...

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  16. Find the distance of the point (1,-1,-10) from the line (x-4)/1=(y+3)/...

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  17. Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1...

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  18. Prove that f:X rarr Y is injective iff for all subsets A,B of X,f(A n...

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  19. Maximize:Z=10x1+12x2+8x3 "Subject to": x1+2x2 le 30 5x1 -7x3 ge 12 x1+...

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  20. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

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