Q89.Let a line having direction ratios 1, −4, 2 intersect the lines x−73 = y−1−1 = z+21 and x2 = y−73 = 1z at the points A and B. Then (AB)2 is equal to + + = + + +
What This Question Tests
This question requires finding the coordinates of intersection points of a line with given direction ratios with two other lines. It then tests the calculation of the squared distance between these two intersection points.
Concepts Tested
Formulas Used
Line equation: (x-x1)/a = (y-y1)/b = (z-z1)/c = λ
Distance between (x1,y1,z1) and (x2,y2,z2) is √((x2-x1)² + (y2-y1)² + (z2-z1)²)
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
2.3 — Two Charges 2 Mc And –2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 · Chapter 2
2.3 Two charges 2 mC and –2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Lines in 3D
- Year
- 2022
- Shift
- 24 Jun Shift 1
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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