Q83.Let a circle C of radius 5 lie below the x-axis. The line L1 = 4x + 3y + 2 passes through the centre P of the circle C and intersects the line L2 : 3x −4y −11 = 0 at Q . The line L2 touches C at the point Q . Then the distance of P from the line 5x −12y + 51 = 0 is
What This Question Tests
This question requires finding the general term of a binomial expansion, setting conditions for positive powers of x, and then finding 'n' based on the sum of coefficients.
Concepts Tested
Formulas Used
(a+b)ⁿ = ΣⁿCr a^(n-r) b^r
Sum of coefficients of positive powers of x
📚 NCERT Sections This Tests
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 · Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Binomial expansion and sum of coefficients
- Year
- 2022
- Shift
- 27 Jun Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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