Q65.Let ๐ด and ๐ต be two finite sets with ๐ and ๐ elements respectively. The total number of subsets of the set ๐ด is 56 more than the total number of subsets of ๐ต. Then the distance of the point P ( m, n ) from the point Q ( - 2, - 3 ) is (1) 10 (2) 6 (3) 4 (4) 8
What This Question Tests
The question combines set theory by using the number of subsets with algebraic equations to find m and n, and then uses coordinate geometry to find the distance between two points.
Concepts Tested
Formulas Used
Number of subsets = 2^k
Distance = sqrt((x2-x1)^2 + (y2-y1)^2)
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 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 โ Two Charges 2 Mc And โ2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 ยท Chapter 2
2.3 Two charges 2 mC and โ2 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?
1.27 โ If The Solubility Product Of Cus Is 6 ร 10โ16, Calculate The Maximum Molarity Of
Chemistry Class 11 ยท Chapter 1
1.27 If the solubility product of CuS is 6 ร 10โ16, calculate the maximum molarity of CuS in aqueous solution.
๐ Question Details
- Chapter
- Sets Relations Functions
- Topic
- Subsets of a set
- Year
- 2024
- Shift
- 27 Jan Shift 2
- Q Number
- Q65
- Type
- Multi concept
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets
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