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Find the shortest distance between the lines `(x+1)/7=(y+1)/-6=(z+1)/1` and `(x-3)/1=(y-5)/-2=(z-7)/1`

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

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 angle between the lines (x-3)/1=(y-1)/5=(z+3)/-3 and(x+1)/-1=(y-4)/8=(z-5)/4

Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+2)/-1=(y-4)/8=(z-5)/4

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.

Find the angle between the following pairs of lines. (x)/2=(y)/2=(z)/1 and (x-5)/4=(y-2)/1=(z-3)/8

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

BODY BOOKS PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. Find a unit vector perpendicular to the plane ABC where A,B,C are poin...

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  2. The Cartesian equation of two lines are (x+1)/7=(y+1)/-6=(z+1)/1 and...

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

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  4. If a plane intersects the co-ordinate axes at a,b,c respectively,write...

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  5. Find the vector and cartesian equations of the plane that passes throu...

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  6. Let two independent events A and B such that P(A)=0.3,P(B)=0.6.Find ...

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  7. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Find...

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  8. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Fin...

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  9. Given two independent events A and B such that P(A)=0.3,P(B)=0.6. find...

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  10. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.

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  11. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.Find AA' and hence ...

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  12. For any square matrix A,prove that A+A' is symmetric.

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  13. If A is a skew symmetric matrix of order 3. Then prove that it's deter...

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  14. Given abs [[2+x,3,4],[1,-1,2],[x,1,5]] is a singular matrix. Find the ...

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  15. Given A and B are square matrices of order 2 such that absA=-1, absB=3...

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  16. Find the intervals in which the function f(x)=x^2+2x-5 strictly increa...

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  17. Find the equation of tangents and normals to the given curves y=x^3 at...

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  18. Find local maximum and local minimum if any for the function. h(x)=sin...

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  19. Integrate the following intfrac(dx)(1+x^2/4)

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  20. Integrate the following intfrac(x)((x-1)(x-2))dx

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