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If equation of three lines are : (x)...

If equation of three lines are :
`(x)/(1)=(y)/(2)=(z)/(3), (x)/(2)=(y)/(1)=(z)/(3) and (x-1)/(1)=(2-y)/(1)=(z-3)/(0)`, then
which of the following statement(s) is/are correct ?

A

Triangle formed by the line is equilateral

B

Triangle formed by the lines is isosceles

C

Equation of the plane containing the lines is `x+y=z`

D

Area of the triangle formed by the lines is `(3sqrt(3))/(2)`

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The correct Answer is:
B, C, D
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VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
  1. If equation of three lines are : (x)/(1)=(y)/(2)=(z)/(3), (x)/(2)=...

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  2. If veca=hati+6hatj+3hatk, vecb=3hati+2hatj+hatk and vec c=(alpha+1)hat...

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  3. Consider the lines: L1:(x-2)/1=(y-1)/7=(z+2)/-5, L2:x-4=y+3=-z Then wh...

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  4. Let hata, hatb and hatc be three unit vectors such that hata=hatb+(h...

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  5. The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk...

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  6. If hati xx [ (veca-hatj) xxhati]+ hatj xx [(veca - hatk)xx hatj] +hatk...

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  7. The value of expression [veca xx vecb" "vec c xx vecd" " vece xx vecf...

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  8. If veca,vecb,vecc & vecd are position vector of point A,B,C and D resp...

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  9. If OAB is a tetrahedron with edges and hatp, hatq, hatr are unit vect...

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  10. Let hata and hatc are unit vectors and |vecb|=4. If the angle between...

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  11. Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then

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  12. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

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  13. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

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  14. Let a be a real number and vec alpha = hati +2hatj, vec beta=2hati+a h...

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  15. The volume of a right triangular prism ABCA1B1C1 is equal to 3. If the...

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  16. If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z ...

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  17. If a line has a vector equation, vecr=2hati +6hatj+lambda(hati-3hatj) ...

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  18. Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD resp...

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  19. The solution vectors vecr of the equation vecr xx hati=hatj+hatk and v...

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  20. Which of the following statement(s) is/are incorrect ?

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