Bengali
English
Hindi

Question

Download Solution PDF

একটি সমবাহু ত্রিভুজের প্রতিটি বাহু a এর সমান। যদি এর শীর্ষবিন্দুগুলি (x1, y1); (x2 , y2): (x3, y3) এর সমতুল্য হয়, তাহলে  নির্ধারকের বর্গফলের মান কত?

This question was previously asked in
DSSSB TGT Maths Male Subject Concerned- 23 Sep 2018 Shift 1
Download PDF Attempt in App
View all DSSSB TGT Papers >
  1. কোনওটিই না
  2. 4a2
  3. 3a4

Answer (Detailed Solution Below)

Option 4 :
Free Tests
View all Free tests >
Free
DSSSB TGT Hindi Female 4th Sep 2021 Shift 2
200 Qs. 200 Marks 120 Mins
Start Now

Detailed Solution

Download Solution PDF

ধারণা :

সমবাহু ত্রিভুজের ক্ষেত্রফল = ×a2

গণনা:

প্রদত্ত: এর শীর্ষবিন্দুগুলি y1); (x2 , y2): (x3, y3) এর সমতুল্য হলে,  নির্ধারকের বর্গফল,

⇒ (△ ABC ) = = ( ) ×a2

উভয় দিকে বর্গফল,

⇒ =

⇒ =

⇒

Download Solution PDF
Latest DSSSB TGT Updates

Last updated on May 12, 2025

-> The DSSSB TGT 2025 Notification will be released soon. 

-> The selection of the DSSSB TGT is based on the CBT Test which will be held for 200 marks.

-> Candidates can check the DSSSB TGT Previous Year Papers which helps in preparation. Candidates can also check the DSSSB Test Series. 

Exams Tests Super Practice

More Application of Determinants Questions

Q1.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
Q2.If the system of linear equations 2x + 2ay + az = 0 2x + 3by + bz = 0 2x + 4cy + cz = 0, where a, b, c ∈ R are non-zero and distinct; has non-zero solution, then
Q3.Which one of the following options is incorrect?  For a square matrix A in the matrix equation AX = B. 
Q4.The area of the triangle (in unit2) whose vertices are A(4, 8),B(-6, 2) and C(5, 4) is: 
Q5.एक समकोण त्रिभुज की ऊँचाई, इसके आधार से 6 से० मी० कम है। यदि अतिभुज (कर्ण) \(\sqrt{218}\) से० मी० है, तो अन्य दो भुजाएँ (से० मी० में) हैं
Q6.The perimeter of a Δ is 24 cm. If lengths of the sides of Δ are represented by prime numbers, the area of the triangle is
Q7.The area of a triangle with vertices (–3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be
Q8.What is the value of \(\left|\begin{array}{lll}\text{a}_{21} & \text{a}_{31} & \text{a}_{11} \\ \text{a}_{23} & \text{a}_{33} & \text{a}_{13} \\ \text{a}_{22} & \text{a}_{32} & \text{a}_{12}\end{array}\right|\) ?
Q9.What is the value of \(a_{21}C_{11}+a_{22}C_{12}+a_{23}C_{13}\)?

More Determinants Questions

Q1.If P is a skew-symmetric matrix of order 3, then what is det(P) equal to? 
Q2.If \(\rm D_n=\begin{vmatrix}n&20&30\\\ n^2&40&50\\\ n^3&60&70\end{vmatrix}\) then what is the value of \(\rm \Sigma_{n=1}^4D_n?\)
Q3.If \(\rm \omega=-\frac{1}{2}+i\frac{\sqrt3}{2}\) then what is \(\rm \begin{vmatrix}1+\omega &1+\omega^2&\omega+\omega^2\\\ 1&\omega\ & \omega^2\\\ \frac{1}{\omega}&\frac{1}{\omega^2}&1\end{vmatrix}\) equal to? 
Q4.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
Q5.If the system of linear equations 2x + 2ay + az = 0 2x + 3by + bz = 0 2x + 4cy + cz = 0, where a, b, c ∈ R are non-zero and distinct; has non-zero solution, then
Q6.Let A and B be two square matrices of order 3 such that |A| = 3 and |B| = 2. Then |AT A(adj(2A))–1 (adj(4B))(adj(AB))–1AAT | is equal to : 
Q7.If the system of equations  11x + y + λz = –5 2x + 3y + 5z = 3 8x – 19y – 39z = µ has infinitely many solutions, then λ4 – µ is equal to :
Q8.Let A be the square matrix of order 3, then |kA|, where k is a scalar, is equal to: 
Q9.Which one of the following options is incorrect?  For a square matrix A in the matrix equation AX = B. 
Q10.The area of the triangle (in unit2) whose vertices are A(4, 8),B(-6, 2) and C(5, 4) is: 
Suggested Test Series
View All >
DSSSB PGT Mock Test 2025
321 Total Tests with 12 Free Tests
Start Free Test
DSSSB TGT Mock Test 2025
563 Total Tests with   10 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： mpl teen patti teen patti gold old version teen patti rummy