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Tapasranjan Das Grade: 12

There are three questions of 3D geometry,,can you plz solve these questions if you dont mind...


1.Find out the equation of the line passing through (1,1,1) and parallal to the plane 2x+3y+z+5=0


2.If the plane (x/2)+(y/3)+(z/4)=1 cuts the coordinates axes in A,B,C then the area of Δ ABC is _____________


3.The equation of a plane through the line of intersection of 2x+3y+z-1=0 and x+5y-2z+7=0 and parallel to the line y=0=z is _______________

8 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points

Dear Tapasranjan

 let the equation of the line passing through (1,1,1) and parallal to the plane 2x+3y+z+5=0  is

(x-1)/a  = (y-1)/b = (z-1)/c

wher a,b,c are the direction ratios of line.

and given direction ratios  of the normal of the plane is 2,3,1

so a*2 + b*3 + c*1 =0

for different combination of a,b,c different line are posible so infinite lines are possible.

for example for c=1 a=1 b=-1 one line is possible

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Askiitians Experts

8 years ago
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