Telugu
English
Hindi
Bengali

Question

Download Solution PDF

L1 మరియు L2  అనేవి సరళరేఖలు. వీటి సమీకరణాలు వరుసగా  మరియు  . అయిన ఈ రెండు రేఖల మధ్యనుండే అతి తక్కువ దూరం?

Answer (Detailed Solution Below)

Option 1 :
Free Tests
View all Free tests >
Free
CUET General Awareness (Ancient Indian History - I)
10 Qs. 50 Marks 12 Mins
Start Now

Detailed Solution

Download Solution PDF

పద్ధతి:

  • రెండు రేఖలు సమాంతరంగా ఉంటే, వాటి మధ్య దూరం స్థిరంగా ఉంటుంది.
  • రెండు సమాంతర రేఖల మధ్య దూరం and  : .

 

సాధన:

రెండు సమాంతర రేఖల మధ్య దూరం కోసం సూత్రాన్ని ఉపయోగించిన, .

Download Solution PDF
Latest CUET Updates

Last updated on Jul 21, 2025

 

-> The CUET 2026 Exam Date are expected between May to June, 2026. 

-> 12th passed students can appear for the CUET UG exam to get admission to UG courses at various colleges and universities.

-> Prepare Using the Latest CUET UG Mock Test Series.

-> Candidates can check the CUET Previous Year Papers, which helps to understand the difficulty level of the exam and experience the same.

Exams Tests Super Practice

More Skew Lines Questions

Q1.The shortest distance between the lines \(\frac{x-4}{4}=\frac{y+2}{5}=\frac{z+3}{3} \) and \( \frac{x-1}{3}=\frac{y-3}{4}=\frac{z-4}{2} \) is
Q2.Find the magnitude of the shortest distance between the lines \(\frac{x-0}{2} = \frac{y-0}{-3}=\frac {z-0}{1} \) and \(\frac{x-2}{3} = \frac{y-1}{-5}=\frac {z+2}{2} \).
Q3.Find the shortest distance between the lines whose vector equations are \(\vec{r}=(3s+2) \hat{i}-3\hat{j}+(4s+4)\hat{k}\) and \(\vec{r}=(3t+2) \hat{i}-3\hat{j}+(4t)\hat{k}\)
Q4.Find the shortest distance between the lines \(\frac{x-5}{7}=\frac{y+2}{-5}=\frac{z}{1}\) and \(\frac{x}{1}=\frac{y}{2}=\frac{z}{3}\)
Q5.Find the shortest distance between the lines whose vector equations are \(\vec{r}=(3s+2) \hat{i}-3\hat{j}+(4s+4)\hat{k}\) and \(\vec{r}=(3t+2) \hat{i}-3\hat{j}+(4t)\hat{k}\)
Q6.If the shortest distance between parallel lines \(\vec{r}= \hat{i}+\hat{2k}+ \lambda ( \hat{i}+2\hat{j}+3\hat{k} )\) and \(\vec{r}= \hat{i}+2\hat{j}+\hat{2k}+ \lambda ( \hat{i}+2\hat{j}+3\hat{k} )\). is \( \sqrt \frac{{k}}{{7}} \) then k?
Q7.Find the shortest distance between the lines \(\frac{x}{-1}=\frac{y-2}{0}=\frac{z}{1}\) and \(\frac{x+2}{1}=\frac{y}{1}=\frac{z}{0}\)
Q8.Find the shortest distance between the lines \(\frac{x-5}{7}=\frac{y+2}{-5}=\frac{z}{1}\) and \(\frac{x}{1}=\frac{y}{2}=\frac{z}{3}\)
Q9.If the shortest distance between the lines \(\rm \dfrac{x-1}{2}=\dfrac{y+1}{-1}=\dfrac{z}{1}\) and x + y + z + 1 = 0 = 2x - y + z + 3 is:
Q10.Find the shortest distance between the lines \(\frac{{x - 6}}{3} = \frac{{y - 7}}{{ - 1}} = \frac{{z - 4}}{1}\;\;and\;\frac{x}{{ - 3}} = \frac{{y + 9}}{2} = \frac{{z - 2}}{4}\)

More Three Dimensional Geometry Questions

Q1.What is the point of intersection of L and P? 
Q2.What are the direction ratios of the line?  
Q3.If 〈l, m, n〉 are direction cosines of S, then what is the value. of 43 (I2 - m2 - n2)?  
Q4.Which of the following are the direction ratios of S? 
Q5.The centre of the sphere lies on the plane 
Q6.What is the diameter of the sphere? 
Q7.The distance of the point (1, 1, 9) from the point of intersection of the line (x – 3)/1 = (y – 4)/2 = (z – 5)/2 and the plane x + y + z = 17 is:
Q8.The equation of the plane passing through the point (1, 2, –3) and perpendicular to the planes 3x + y – 2z = 5 and 2x – 5y – z = 7, is:
Q9.Let P be a plane passing through the points (2, 1, 0), (4, 1, 1) and (5, 0, 1) and R be any point (2, 1, 6). Then the image of R in the plane P is:
Q10.Let a, b∈R. If the mirror image of the point P(a, 6, 9) with respect to the line (x – 3)/7 = (y – 2)/5 = (z – 1)/(-9) is (20, b, -a -9), then |a + b| is equal to:
Suggested Test Series
View All >
NCERT XI-XII Physics Foundation Pack Mock Test
323 Total Tests with 3 Free Tests
Start Free Test
NCERT XI-XII Math Foundation Pack Mock Test
117 Total Tests with   2 Free Tests
Start Free Test

CUET Important Links

Application FormExam DatesSyllabusDomain Subject SelectionCollege ListBooks

More Mathematics Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
Q2.In a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?
Q3.Three perfect dice D1, D2 and D3 and are rolled. Let x, represent the numbers on D1, D2 and D3 respectively. What is the number of possible outcomes such that x < y < z?
Q4.Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?
Q5.The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?
Q6.Two perfect dice are thrown. What C is the probability that the sum of the numbers on the faces is neither 9 nor 10?
Q7.Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?
Q8.A fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?  
Q9.The mean of the series x1, x2...xn is x̅ If xn is replaced by k, then what is the new mean?
Q10.Let \(\rm \Sigma_{i=1}^9x_i^2=885\) If M is the mean and σ is the standard deviation of  x1, x2, x3.....x9 then what is the value of M2 + σ2?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
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
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti joy mod apk teen patti star apk teen patti online