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Find the vector and cartesian equations of the plane passing through the line of intersection of the planes ` vec r (2 hat i+2 hat j-3 hat k)=7,vec r (2 hat i+5 hat j+3 hat k)=9` such that the intercepts made by the plane on x-axis and z-axis are equal.

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Find the equation of the plane passing through the intersection of the planes vec r .(2 hat i+ hat j+3 hat k)=7, vec r.(2 hat i+5 hat j+3 hat k)=9 the point (2,1,3)dot

Find the vector equation of the plane passing through the intersection of the planes -> rdot(2 hat i+2 hat j-3 hat k)=7, -> rdot(2 hat i+5 hat j+3 hat k)=9 and through the point (2, 1, 3).

Find the equation of the plane passing through the intersection of the planes vec rdot( hat i+ hat j+ hat k)=\ 6,\ vec rdot\ \ (2 hat i+3 hat j+4 hat k)=\ -5 and the point (1,1,1).

Find the vector and Cartesian equations of the line passing through (1, 2, 3) and parallel to the planes vec rdot(( hat i- hat j+2 hat k)=5\ a n d\ vec rdot((3 hat i+ hat j+ hat k)=6.

Find the vector and cartesian equations of the line passing through the point P\ (1,\ 2,\ 3)\ and parallel to the planes vec rdot( hat i-\ hat j+2 hat k)=5\ and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the equation of the plane passing through (a ,b ,c) and parallel to the plane vec r is dot( hat i+ hat j+ hat k)=2.

Find the equation of the plane passing through the intersection of the planes vec rdot( (hat i+ hat j+ hat k)=1\ a n d\ vec rdot((2 hat i+3 hat j- hat k)+4=0 and parallel to x-axis.

Find the vector equation of the line passing through the point (1,2,3) and parallel to the planes vec rdot( hat i- hat j+2 hat k)=5 and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the equation of a plane through the intersection of the planes vec rdot( hat i+3 hat j- hat k)=5a n d vec rdot(2 hat i- hat j+ hat k)=3 and passing through the point (2,1,-2)dot

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vec r.( hat i+2 hat j-5 hat k)+9=0 .

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. Write the direction ratios of the vector 3 vec a+2 vec b where vec a=...

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  3. Find the vector and cartesian equations of the plane passing through t...

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  5. Solve for x :tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,x >0

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  6. Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))

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  7. Find : int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dx

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  9. Find the areas of the region {(x , y): y^2lt=4x ,4x^2+4y^2lt=9}, using...

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  10. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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  11. Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on th...

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  12. If y=A e^(m x)+B e^(n x), show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n y...

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  13. Find : int(x+3)/(sqrt(5-4x+x^2))dx

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  14. Find the shortest distance between the following lines: vec r=2 hat i...

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  15. For what value of lambda the function defined by f(x)={lambda(x^2+2),i...

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  16. If x=a e^t(sint+cost) and y=a e^t(sint-cost), prove that (dy)/(dx)=(x+...

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  17. Evaluate : int0^(pi/4)log(1+tanx)dxdot

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  18. Find : intx/((x-1)^2(x+2))dx

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  19. A point on the hypotenuse of a right triangle is at distances a and b ...

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  20. Evaluate: int[x+2]/[2x^2+6x+5]dx

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