Home
Class 12
MATHS
Find the value of [a] if the lines (x...

Find the value of [a] if the lines
`(x-2)/(3)=(y+4)/(2)=(z-1)/(5)` & `(x+1)/(-2)=(y-1)/(3)=(z-a)/(4)` are coplanar (where [] denotes greatest integer function)

Text Solution

Verified by Experts

The correct Answer is:
7
`|(3,-5,1-a),(3,2,5),(-2,3,4)|= 0 rArr a = (102)/(13)`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 4

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 3

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

  • MOCK TEST 5

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar, if

The lines (x-2)/(1) = (y-3)/(1) =(z-4)/(-k) and (x-3)/(k)=(y-4)/(1) = (z-5)/(1) are coplanar if the values of k are

The line (x-2)/1=(y+4)/(2)=(z-3)/3 and x/2=(y-1)/(4)=(z+3)/(6) are

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) .

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.

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

The lines (x-2)/1=(y-3)/2=(z-4)/(-2k) and (x-1)/k=(y-2)/3=(z-6)/1 are coplanar if

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

If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 intersect, (where [.] denotes greatest integer function) then K can be 4 (2) (13)/4 (3) 5 (4) (37)/6

Show that the lines (x+3)/(-3) = y - 1 = (z-5)/(5) and (x+1)/(-1) = (y-2)/(2) = (z-5)/(5) are coplanar. Also find their point of intersection.