Check sibling questions

If A = [8(0 2 3 -4)] and kA = [8(0 3a 2b 24)], then the values of π‘˜,π‘Ž and 𝑏 respectively are:

(a) βˆ’6, βˆ’12, βˆ’18Β  Β  Β  Β  Β  (b) βˆ’6, βˆ’4, βˆ’9

(c) βˆ’6, 4, 9Β  Β  Β  Β  Β  Β  Β  Β  Β  Β (d) βˆ’6, 12, 18

Slide82.JPG

Slide83.JPG
Slide84.JPG

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

Question 32 If A = [β– 8(0&[email protected]&βˆ’4)] and kA = [β– 8(0&3π‘Ž@2𝑏&24)], then the values of π‘˜,π‘Ž and 𝑏 respectively are: (a) βˆ’6, βˆ’12, βˆ’18 (b) βˆ’6, βˆ’4, βˆ’9 (c) βˆ’6, 4, 9 (d) βˆ’6, 12, 18 Now, A = [β– 8(0&[email protected]&βˆ’4)] kA = k [β– 8(0&[email protected]&βˆ’4)] kA = [β– 8(0 Γ— π‘˜&2 Γ— π‘˜@3 Γ— π‘˜&βˆ’4 Γ— π‘˜)] kA = [β– 8(0&2π‘˜@3π‘˜&βˆ’4π‘˜)] Putting value of kA [β– 8(0&3π‘Ž@2𝑏&24)] = [β– 8(0&2π‘˜@3π‘˜&βˆ’4π‘˜)] Thus, 24 = βˆ’4k βˆ’4k = 24 k = 24/(βˆ’4) k = βˆ’6 Also, 3a = 2k 3a = 2(βˆ’6) 3a = βˆ’12 a = (βˆ’12)/3 a = βˆ’4 So, the correct answer is (B) [β– 8(0&3π‘Ž@2𝑏&24)] = [β– 8(0&2π‘˜@3π‘˜&βˆ’4π‘˜)] Thus, 24 = βˆ’4k βˆ’4k = 24 k = 24/(βˆ’4) k = βˆ’6 Also, 3a = 2k 3a = 2(βˆ’6) 3a = βˆ’12 a = (βˆ’12)/3 a = βˆ’4 2b = 3k 2b = 3(βˆ’6) 2b = βˆ’18 b = (βˆ’18)/2 b = βˆ’9 Thus, k = βˆ’6, a = βˆ’4, b = βˆ’9 So, the correct answer is (B)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.