Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

What is the maximum number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as circle and lines)? 

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
Download PDF Attempt Online
View all NDA Papers >
  1. 6
  2. 10
  3. 14
  4. 16

Answer (Detailed Solution Below)

Option 3 : 14
Free Tests
View all Free tests >
Free
NDA 01/2025: English Subject Test
5.3 K Users
30 Questions 120 Marks 30 Mins
Start Now

Detailed Solution

Download Solution PDF

Explanation:

Since there are 4 lines, the maximum number of intersection points are 4C2 = 6.

The maximum number of intersections of the circle with 4 lines is 4 × 2 = 8.

Required intersection points = 6 + 8 = 14

∴ the correct answer is Option 3 ie 14

Download Solution PDF
Latest NDA Updates

Last updated on May 30, 2025

->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.

-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.

-> The selection process for the NDA exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. 

-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

‹‹ Previous Ques
Next Ques ››

More Combination Function and its properties Questions

Q1.In an examination of twenty questions, each correct answer carries 5 marks, each unanswered question carries 1 mark and each wrong answer carries 0 marks. Which one of the following marks is not possible?
Q2.If 2nC3 : nC2 = 12 : 1, then find the value of n.
Q3.If 3(6C3) = 10(xC2), then x = ?
Q4.Calculate the value of 10C3 × 8C3.
Q5.\(\rm ^nC_{r-3}+2\times (^nC_{r-4})+{^nC_{r-5}}=\)
Q6. If nC15 = nC8 ,then find the value of n.
Q7.If C(30, n - 3) = C(30, n + 3) then what is n equal to?
Q8.What is C(n, r) + 2C(n, r + 1) + C(n, r + 2) equal to?
Q9.If \(\rm ^{2n}C_3 : ^nC_3=17:2\), find n 
Q10.If C(28, 2r) = C(28, 2r - 4), then what is r equal to?

More Permutations and Combinations Questions

Q1.A scientific committee is to formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed is:
Q2.Total number of six-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is
Q3.The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is
Q4.If nPr = nPr + 1 and nCr = nCr - 1, then the values of n and r are respectively
Q5.If \(\frac{(2 n) !}{3 !(2 n-3) !}\) and \(\frac{n !}{2 !(n-2) !}\) are in the ratio 44 ∶ 3, then n is
Q6.What is the sum of the smallest and largest four digit numbers formed by using all the digits 7, 4, 0, 2 once?
Q7.प्रयागराज से पटना जाने के 5 मार्ग हैं और 4 मार्ग पटना से कोलकाता जाने के हैं। पटना होते हुए प्रयागराज से कोलकाता जाने के कितने संभव रास्ते हैं ? 
Q8.(n+2) ! = 2550 × n !, then n is:
Q9.A boy can escape through a window of size at least 4 feet. The 28 windows of a house are of sizes 2, 3, 4 or 5 feet and their numbers are proportional to their sizes. The number of windows available for the boy to escape through is
Q10.A device needs 4 batteries to run. Each battery runs for 2 days. If there are a total of 6 batteries available, what is the maximum number of days for which the device can be run by strategically replacing the batteries till all the batteries are completely drained of power?
Suggested Test Series
View All >
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with 4 Free Tests
Start Free Test
Current Affairs (CA) 2024 Mega Pack for SSC/Railways/State Exam Mock Test
427 Total Tests with   5 Free Tests
Start Free Test

More Mathematics Questions

Q1.log10 10000 = _______?
Q2.Consider a system equation \(2x+y-z=0\), \(4x - py + 4z = 4\) and \(x-y+z=q\) where \(p, q \in I\) and \(p, q \in [1, 10]\), then identify the correct statement(s).   List-I List-II (I) Number of ordered pairs \((p, q)\) for which system of equation has unique solution is (P) 1 (II) Number of ordered pairs \((p, q)\) for which system of equation has no solution is (Q) 9 (III) Number of ordered pairs \((p, q)\) for which system of equation has infinite solution is (R) 91 (IV) Number of ordered pairs \((p, q)\) for which system of equation has atleast one solution is (S) 90
Q3.Match List I with List II:   List - I List - II (I) The number of solutions of the equation\((1 - \cos 2x)(\cos 2x + \cot^2 x) = 0\) where \(0 \le x \le 2\pi\) is (P) 4 (II) \(\tan 81^\circ - \tan 63^\circ - \tan 27^\circ + \tan 9^\circ\) equals (Q) 3 (III) The number of solutions of (x, y), which satisfy |y| = sin x and y = cos-1(cos x), where -2π ≤ x ≤ 2π is (R) 2 (IV) For the equation \(\cos^{-1}x + \cos^{-1}2x + \pi = 0\), the number of real solutions is (S) 1     (T) 0  
Q4.If Σn = 36, find n
Q5.If log 2 = 0.2614, log 3 = 0.3521, log 6 = ?
Q6.The growth model for a population is Nt = N0ert where Nt is the population at time t, N0 is the initial population and r is the per capita growth rate. How long does it take for the population numbers to double?
Q7.Suppose that the growth rate of the number of individuals (N) in a population in an environment with a carrying capacity K is modelled as \(\frac{d N}{d t}=r N \frac{K-N}{K}\) where r is the per capita growth rate and t is time; r and K are positive constants. At which of the following values of N will the population growth rate be the maximum?
Q8.The shadow of a vertical pole, formed due to a nearby lamp which is at a height of 12 m, measures 4 m. If the lamp is moved horizontally 2 m further away from the pole, the length of the shadow measures 8 m. What is the height (in m) of the pole?
Q9.A pack of cards contains 4 aces, 4 kings, 4 queens and 4 jacks. Out of these 16 number of cards, two cards are drawn at random. Find the probability that at least one of them is an ace :
Q10.If the equations 2x2 + kx - 5 = 0 and x2 - 3x - 4 = 0 have one root common, then find the value of k.
Important Exams
SuperCoaching
Exams
Test Series
Previous Year Papers
Objective Questions
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti master king teen patti apk teen patti rich teen patti flush