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Find the value of lamda so that the line...

Find the value of `lamda` so that the lines `(1-x)/(3)=(7y-14)/(2lamda)=(z-3)/(2)` and `(7-7x)/(3lamda)=(y-5)/(1)=(6-z)/(5) ` are at right angles.

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The correct Answer is:
`:." "lamda=(70)/(11)`
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Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)/(3p)=(y-5)/1=(6-z)/5 are at right angles.

Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)/(3p)=(y-5)/1=(6-z)/5 are at right angles.

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

If the lines (x-1)/(-3)=(y-2)/(2lamda)=(z-3)/(2)" and "(x-1)/(3lamda)=(y-1)/(1)=(z-6)/(-5) are perpendicular to each other, then find lamda

Show that the lines (x-5)/(4)=(y-7)/(4)= (z+3)/(-5) and (x-8)/(7)=(y-4)/(1) = (z-5)/(3) . are coplanar

Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13)/(8)=(z-15)/(-5) , then-

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

Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) .

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

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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Sample Questions for Competitive Examination
  1. Find the value of lamda so that the lines (1-x)/(3)=(7y-14)/(2lamda)=(...

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  2. The symmetrical from of the lines x+y+z-1=0 and 4x+y-2z+2=0 are -

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  3. The equation of line passing through the point vec(a) parallel to the ...

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  4. The lines vec(r)=hat(i)+hat(j)-hat(k)+lamda(3hat(i)-hat(j)) and vec(r)...

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  5. Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13...

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  6. The distance of the point A(veca) from the line vec(r)=vec(b)+tvec(c)...

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  7. If the length of the perpendicular drawn from (1,2,3) to the line (x-6...

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  8. If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(...

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  9. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy xy=c^(...

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  10. A line passing through the point (1,1,1) from a tiangle of area sqrt(6...

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  11. The direction cosines of two lines satisfy the relations lamda(l+m)=n ...

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  12. Each question in this section contains statements given in two columns...

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  13. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

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  14. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

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  15. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

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  16. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

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  17. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

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  18. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

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  19. Statement - I: The point A (1,0,7) is the mirror image of the point B(...

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  20. Statement - I : The lines vec(r)=hat(i)+hat(j)-hat(k)+S(3hat(i)-hat(j)...

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