Q60.Let A, B, C and D be four non-empty sets. The contrapositive statement of “If A ⊆B and B ⊆D , then A ⊆C ” is (1) If A ⊈C , then A ⊆B and B ⊆D (2) If A ⊆C , then B ⊂A and D ⊂B (3) If A ⊈C , then A ⊈B and B ⊆D (4) If A ⊈C , then A ⊈B or B ⊈D
What This Question Tests
This question combines the condition for a line to be tangent to an ellipse with finding the distance between its foci, requiring the determination of the semi-major axis and eccentricity.
Concepts Tested
Formulas Used
Equation of tangent to ellipse y = mx + sqrt(a^2m^2 + b^2)
b^2 = a^2(1 - e^2)
Foci at (±ae, 0)
📚 NCERT Sections This Tests
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
14.1 — In An N-Type Silicon, Which Of The Following Statement Is True:
Physics Class 12 · Chapter 14
14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Ellipses
- Topic
- Tangent to an ellipse, Foci of an ellipse
- Year
- 2020
- Shift
- 07 Jan Shift 2
- Q Number
- Q60
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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