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(x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=...

`(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.

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(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-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 are coplanar.

The Cartesian equation of two lines are given by (x+1)/7=(y+1)/-6=(z+1)/1,(x-3)/1=(y-5)/-2=(z-7)/1 Write the vector equation of these lines.

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.

Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)/-3 and (x+1)/-1=(y-4)/8=(z-5)/4 Find the shortest distance between the above skew lines.

Cartesian equation of two lines are (x+2)/2=(y+2)/4=(z+2)/1 , (x-1)/2=(y-1)/-3=(z-1)/-4 .find the shortest distance between the lines.

Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)/-3 and (x+1)/-1=(y-4)/8=(z-5)/4 Find the angle between these two lines.

Consider the lines (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/3=(y+7)/2=(z-6)/4 Express the equation to the lines into vector form.

Consider the lines (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/3=(y+7)/2=(z-6)/4 Find the shortest distance between the lines.

The equation of two lines are (x-1)/2=(y-2)/2=(z-3)/3 and x/-3=y/2=z/5 , then Find the equation of the line passing through (2,1,3) and perpendicular to the given 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. 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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  3. (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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  4. (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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  5. A coin is tossed 3 times. Find the probability distribution of the num...

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

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

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

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

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

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

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

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

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

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

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  16. Find area of the shaded region using integration.

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

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

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

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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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