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Show that the lines (x-2)/1=(y+1)/2=(z-3...

Show that the lines `(x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2` are coplanar.

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(x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Find the equation of the plane that contains the above lines.

(x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Show that the above lines intersect at the point (3,1,4).

Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/5 and (x+1)/(-1) =(y- 2)/2=(z-5)/5 are coplanar.

Show that the lines (x-5)/7=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpendicular to each other.

If the lines (x-1)/-3 = (y-2)/(2k) = (z-3)/2 and (x-1)/(3k) = (y-1)/1 = (z-6)/-5 are perpendicular, then find the value of k.

Find the angle between the lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)/1=(y-4)/1=(z-5)/2 .

Find the equation of the plane containing the lines (x-4)/1=(y-3)/4=(z-2)/5 and (x-3)/1=(y-2)/-4=(z+3)/5

Cartesian equation of two lines are (x+2)/2=(y+2)/4=(z+2)/1 , (x-1)/2=(y-1)/-3=(z-1)/-4 .Write the vector equation of the lines.

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Consider the function f(x)=sin^(-1)(2xsqrt(1-x^2)),(-1)/sqrt2lexle1/sq...

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  2. Consider the function f(x)=sin^(-1)(2xsqrt(1-x^2)),(-1)/sqrt2lexle1/sq...

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  3. Show that the lines (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 ar...

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  4. (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Find the equation of t...

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  5. (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Show that the above li...

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  6. A coin is tossed 3 times. Find the probability distribution of the num...

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  7. In a circle of radius 2 a square is inscribed as shown in the figure. ...

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  8. If f(x)=sinx,g(x)=x^2,x in R , then find (fog)(x)

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  9. Let u and v be two functions defined on R as u(x)=2x-3 and v(x)=(3+x)/...

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  10. For the symmetric matrix A=[(2,x,4),(5,3,8),(4,y,9)].Find the value of...

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  11. From the symmetric matrix A=[(2,x,4),(5,3,8),(4,y,9)], verify AA' and...

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  12. Find the slope of tangent line to the curve y=x^2-2x+1

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  13. Find the equation of the tangent to the curve y=x^2-2x+1 which is pa...

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  14. If intf(x)dx=logabs(tanx)+C. Find f(x)

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  15. Evaluate int1/sqrt(1-4x^2)dx

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  16. The area bounded by the curve y=f(x), x-axis and the line x=a and x=b ...

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  17. Find area of the shaded region using integration.

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  18. The order of the differential equation formed by y=Asinx+Bcosx , where...

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  19. Solve the differential equation sec^2xtanydx+sec^2ytanxdy=0

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  20. A factory produces three items P,Q and R at two plants A and B . The n...

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