Home
Class 12
MATHS
Find the equation of a line which pas...

Find the equation of a line which passes through the point `(2,3,4)` and which has equal intercepts on the axes.

Text Solution

Verified by Experts

Since line has equal intercepts on axes, it is equally inclined to axes.
`rArr" "` Line is along the vector `a(hati+hatj+hatk)`
`rArr" "` Equation of line `=(x-2)/(1)=(y-3)/(1)=(z-4)/(1)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.1|12 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.2|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a plane which passes through the point (1, 2, 3) and which is equally inclined to the planes x-2y+2z-3=0 and 8x-4y+z-7=0 .

Find the equation of the line which passes through the point (4,-6) and makes intercepts on the axes (i) equal in magnitude and of the same sign , (ii) equal in magnitude but opposite in sign.

Find the equation of the line which passes through the point (4,-6)and mkes intercepts on the axes equal in magnitude.but opposite in sign.

Find the equation of the line which passes through the point (3, 4) and the sum if their respective intercepts on the axes is 14

Find the equation of the circle which passes through the point (2,-2), and (3,4) and whose centre lies on the line x+y=2 .

Find the equation of an ellipse which passes through the point (-2, 2), (3,-1) and the major and minor axes as the axes of co¬ ordinate. Find its eccentricity.

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

Find the equation to the circle which passes through the point (2,-2),(3,4) and has its centre on the line 2x+2y=7. Find the centre and radius.

Find the equation of the plane which passes through the points (1,2,3),(2,3,1) and (3,1,2)

Find the equation of a circle which is passes through the point (4,3) and (-2,.5) and the centre lies on the straight line 2x - 3y = 4.