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Find the Vector and Cartesian equation of the plane containing the line `(x-2)/2=(y-2)/3=(z-1)/3` and parallel to the line `(x+1)/3=(y-1)/2=(z+1)/1`

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Find the vector and cartesian equations of the plane containing the line (x-2)/(2)=(y-2)/(3)=(z-1)/(-2) and passing through the point (-1, 1,-1).

Find the equation of the plane containing the line (y)/(b)+(z)/(c)=1,x=0 , and parallel to the line (x)/(a)-(z)/(c)1,y=0 .

Find the vector and cartesian equation of the plane passing through (2, -1, -3) and parallel to the line (x-5)/(3)=(y+1)/(2)=(z-3)/(-4) and (x+10)/(2)=(y-10)/(3)=(z-2)/(2)

Find the vector and cartesian equations of the plane passing through the points A(1, -2, 3) and B(-1,2,-1) and is parallel to the line (x-2)/(2)=(y+1)/(3)=(z-1)/(4) .

Find the vector and cartesian equation of the plane passing through the point (1, 3, 2) and parallel to the lines * (x+1)/(2)=(y+2)/(-1)=(z+3)/(3) and (x-2)/(1)=(y+1)/(2)=(z+2)/(2) .

Find the equation of the plane through the points (1,0,-1),(3,2,2) and parallel to the line (x-1)/1=(y-1)/(-2)=(z-2)/3 .

Find the vector parametric , non parametric and Cartesian equation of the plane passing through the points (2, 1, -1) and (1, -1, 2) and parallel to the line (x-10)/(2)=(y+7)/(3)=(z-3)/(4) .

Find the non-parametric form of vector equation, and Cartesian eqution of the plane passing through the point (2,3,6) and parallel to the straight lines (x-1)/(2)=(y+1)/(3)=(z-3)/(1)and(x+3)/(2)=(y-3)/(-5)=(z+1)/(-3).

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

SURA PUBLICATION-MODAL QUESTION PAPER-PART - IV
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  4. Find the parametric form vector eqution and Cartesian equations of the...

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  5. Prove by vector method that the perpendiculars (altitudes) from the ve...

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  6. If a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 makes intercepts...

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  7. Solve the following systems of linear equation by Cramer's rule: 3x...

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  8. Test for consistency and if possible solve the following system of equ...

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  9. If z = x + iy and arg ((z-1)/(z+1))=pi/2, show that x^(2)+y^(2)-1=0.

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  10. Sketch the graph of sinx in [-pi/2,pi/2]andsin^(-1) in [-1, 1].

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  11. Find the equation of the ellipse whose eccentricity is 1/2, one of the...

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  12. A tunnel through a mountain for a four lane highway is to have a ell...

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  13. By vector method, Prove that sin(alpha-beta)=sinalphacosbeta-cosalphas...

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  14. Find the Vector and Cartesian equation of the plane containing the lin...

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  15. A conical water tank with vertex down of 12 meters height has a radius...

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  16. Prove that among all the rectangles of the given area, square has the ...

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  17. If u(x,y) = (x^(2) + y^(2))/sqrt(x+y), prove that x(del u)/(del x) + y...

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  18. Solve : dy/dx+2ycotx=3x^(2)"cosec"^(2)x.

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  19. The rate at which the population of a city increases at any time is pr...

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  20. Find the area of the region bounded by y=cosx,y=sinx, the lines x=pi/...

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