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Find the vector equation of the plane wh...

Find the vector equation of the plane which contains the line of intersection of the plane ` vec rdot( hat i+2 hat j+3 hat k)-\ 4=0` and ` vec rdot(2 hat i+ hat j- hat k)+5=0` and which is perpendicular to the plane ` vec rdot(5 hat i+3 hat j-\ 6 hat k)+8=0.`

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Find the equation the plane which contain the line of intersection of the planes vec rdot( hat i+2 hat j+3 hat k)-4=0a n d vec rdot(2 hat i+ hat j- hat k)+5=0 and which is perpendicular to the plane vec r(5 hat i+3 hat j-6 hat k)+8=0 .

Find the equation of the plane which contains the line of intersection of the planes vec r . ( hat i+2 hat j+3 hat k)-4=0,\ vec r . (2 hat i+ hat j- hat k)+5=0 and which is perpendicular to the plane vec r . (5 hat i+3 hat j-6 hat k)+8=0.

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

Find the vector equation of the line through the origin which is perpendicular to the plane vec rdot(( hat i+2 hat j+3 hat k)=3.

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 equation of the plane through the line of intersection of the planes vec rdot(( hat i+3 hat j)+6=0\ a n d\ vec rdot((3 hat i- hat j-4 hat k)=0, which is at a unit distance from the origin.

Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6\ a n d\ vec rdot((3 hat i+6 hat j-2 hat k)=9.

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

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 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.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If y=log\ [x+sqrt(x^2+1)] , prove that (x^2+1)(d^2\ y)/(dx^2)+x(dy)/(d...

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  2. Prove that: d/(dx)[x/2\ sqrt(a^2-x^2)+(a^2)/2sin^(-1)(x/a)]=sqrt(a^2-...

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  3. Find the vector equation of the plane which contains the line of in...

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  4. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

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  5. Show that the function f(x)=2x-|x| is continuous but not differenti...

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  6. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ...

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  7. Let A = R × R and * be the binary operation on A defined by (a, b) ...

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  8. Consider f: R rarr [-5,oo) given by f(x)=9x^2+6x-5 . Show that f is...

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  9. Evaluate: int(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))

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  10. Find the vector equation of the line passing through the point (1,2...

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  11. Find the area of the region bounded by the parabola y=x^2 and y=|x| .

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  12. Find the particular solution of the differential equation(tan^(-1)y-x)...

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  13. Using elementary transformations, find the inverse of the matrix : [...

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  14. If vec a= hat i-\ hat j+7 hat k and vec b=5 hat i-\ hat j+lambda h...

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  15. Use product [[1,-1, 2],[ 0, 2,-3],[ 3,-2, 4]] [[-2, 0, 1],[ 9, 2,-3],[...

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  16. Find the angle between the line (x+1)/2=(3y+5)/9=(3-z)/(-6) and the ...

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  17. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

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  18. Solve the following differential equation: e^xtany\ dx+(1-e^x)sec^2y...

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  19. Find the value of a for which the function f defined by f(x)={asin(pi...

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  20. int2/((1-x)(1+x^2))dx

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