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Find the equation of the plane passing through line of intersection of the plane `vecr.(hat i + 3 hat j)` + 6` = 0 andvecr.(3 hati - hat j - 4 hat k)` = 0. which is at a unit distance form the origin.

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Find the equation of the plane passing through the line of intersection of the plane vecr.(hati+3 hatj)+6=0 and vecr.(3 hati- hatj-4k)=0 which is at a unit distance from the origin.

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

Find the equation of a plane through the intersection of the planes vecr.(hati+3hat j-hat k)=5 and vecr.(2hat i-hatj +hatk)=3 and passing through the point (2,1,-2)

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 passing through (3,4,-1), which is parallel to the plane vec rdot(2 hat i-3 hat j+5 hat k)+7=0.

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

Show that the line of intersection of the planes vec r.( hat i+2 hat j+3 hat k)=0 and vec r.(3 hat i+2 hat j+ hat k)=0 is equally inclined to ia n dkdot Also find the angle it makes with jdot

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Find the equation of the line passing through the point (2,-1,3) and parallel to the line vec(r)=(hat(i)-2hat(j)+hat(k))+lamda(2hat(i)+3hat(j)-5hat(k))

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UNITED BOOK HOUSE-SET (11)-EXERCISE
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  3. Eight coins are thrown simultaneously. Show that the probability of ge...

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  5. Provet that the producet of the matrics [[cos^2 alpha cos alpha sin al...

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  6. Solve :|(x + a, b, c),(a, x+b, c),(a, b, x + c)|=0

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  7. If f(x)= ((a+x)/(b+x))^(a+b+2x) then prove that f'(0)= [2log(a/b)+(b...

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  8. If y = e^u and u = f(x), show that,(d^2y)/(dx^2)= e^u [(d^2u)/(dx^2) +...

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  9. int dx/(x^n(1+x^n)^(1/n)) is

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  10. Solve: (x^2 + y^2).dx-2xydy = 0, given y = 0 when x = 1

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  11. SolveL (1+y)^2dx=(tan^(-1)y-x)dy, given that y= 0 when x= -1.

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  12. If the points having position vectors hati + b hat j + c hat k, 7 hati...

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  13. Let veca = 2 hati + 2 hat j + 3 hat k, vecb = -hati + 2 hat j + hat k,...

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  14. Evaluate: underset (0)overset(pi/4)int (sqrt tanx + sqrt cotx)dx

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  15. A bag contains 5 white, 7 red and 3 black balls. If three balls are dr...

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  16. A bag contains 5 white and 7 black balls. Find the expectation of a ma...

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  17. Using calculus find the length of perpendicular from the point (2,-1) ...

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  18. Shade the area bounded by y^2 = 8x and y = x above positive direction ...

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  19. Find the equation of the line which passes through the point with posi...

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  20. Find the equation of the plane passing through line of intersection of...

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