Q88.Let S be the set of all real values of λ such that a plane passing through the points (−λ2, 1, 1), (1, −λ2, 1) and (1, 1, −λ2) also passes through the point (−1, −1, 1). Then S is equal to : (1) {√3} (2) {3, −3} (3) {1, −1} (4) {√3, −√3}
What This Question Tests
This question requires setting up the equation of a plane passing through three given points using determinants and then using the condition that another point lies on this plane to solve for the unknown parameter λ.
Concepts Tested
Formulas Used
|[x-x1, y-y1, z-z1], [x2-x1, y2-y1, z2-z1], [x3-x1, y3-y1, z3-z1]| = 0
📚 NCERT Sections This Tests
1.14 — Consider A Uniform Electric Field E = 3 × 103 Î N/C. (A) What Is The
Physics Class 11 · Chapter 1
1.14 Consider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?
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.
1.15 — What Is The Net Flux Of The Uniform Electric Field Of Exercise 1.14
Physics Class 11 · Chapter 1
1.15 What is the net flux of the uniform electric field of Exercise 1.14 through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Equation of a Plane
- Year
- 2019
- Shift
- 12 Jan Shift 2
- Q Number
- Q88
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: 3D Geometry
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