English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If A = [1-12-1], B = ab[a1b-1] and (A + B)2 = A2 + B2, then the values of a and b are - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:
If A = `[(1, -1),(2, -1)]`, B = `[("a", 1),("b", -1)]` and (A + B)2 = A2 + B2, then the values of a and b are

Options

  • a = 4, b = 1

  • a = 1, b = 4

  • a = 0, b = 4

  • a = 2, b = 4

MCQ
Advertisements

Solution

a = 1, b = 4

shaalaa.com
Determinants
  Is there an error in this question or solution?
Chapter 7: Matrices and Determinants - Exercise 7.5 [Page 41]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 7 Matrices and Determinants
Exercise 7.5 | Q 6 | Page 41

RELATED QUESTIONS

Without expanding the determinant, prove that `|("s", "a"^2, "b"^2 + "c"^2),("s", "b"^2, "c"^2 + "a"^2),("s", "c"^2, "a"^2 + "b"^2)|` = 0


Show that `|("b" + "c", "bc", "b"^2"C"^2),("c" + "a", "ca", "c"^2"a"^2),("a" + "b", "ab", "a"^2"b"^2)|` = 0


Prove that `|(1 + "a", 1, 1),(1, 1 + "b", 1),(1, 1, 1 + "c")| = "abc"(1 + 1/"a" + 1/"b" + 1/"c")`


If `|("a", "b", "a"alpha + "b"),("b", "c", "b"alpha + "c"),("a"alpha + "b", "b"alpha + "c", 0)|` = 0, prove that a, b, c are in G. P or α is a root of ax2 + 2bx + c = 0


Show that `|("a"^2 + x^2, "ab", "ac"),("ab", "b"^2 + x^2, "bc"),("ac", "bc", "c"^2 + x^2)|` is divisiible by x


If λ = – 2, determine the value of `|(0, lambda, 1),(lambda^2, 0, 3lambda^2 + 1),(-1, 6lambda - 1, 0)|`


Using cofactors of elements of second row, evaluate |A|, where A = `[(5, 3, 8),(2, 0, 1),(1, 2, 3)]`


Solve the following problems by using Factor Theorem:

Show that `|(x, "a", "a"),("a", x, "a"),("a", "a", x)|` = (x – a)2 (x + 2a)


Solve `|(4 - x, 4 + x, 4 +  x),(4 + x, 4 - x, 4 + x),(4 + x, 4 + x, 4 - x)|` = 0


Show that `|(1, 1, 1),(x, y, z),(x^2, y^2, z^2)|` = (x – y)(y – z)(z – x)


Find the area of the triangle whose vertices are (0, 0), (1, 2) and (4, 3)


Identify the singular and non-singular matrices:

`[(1, 2, 3),(4, 5, 6),(7, 8, 9)]`


Identify the singular and non-singular matrices:

`[(0, "a" - "b", "k"),("b" - "a", 0, 5),(-"k", -5, 0)]`


Determine the values of a and b so that the following matrices are singular:

A = `[(7, 3),(-2, "a")]`


Find the value of the product: `|(log_3 64, log_4 3),(log_3 8, log_4 9)| xx |(log_2 3, log_8 3),(log_3 4, log_3 4)|`


Choose the correct alternative:
If `|(2"a", x_1, y_1),(2"b", x_2, y_2),(2"c", x_3, y_3)| = "abc"/2 ≠ 0`, then the area of the triangle whose vertices are `(x_1/"a", y_1/"a"), (x_2/"b", y_2/"b"), (x_3/"c", y_3/"c")` is


If P1, P2, P3 are respectively the perpendiculars from the vertices of a triangle to the opposite sides, then `cosA/P_1 + cosB/P_2 + cosC/P_3` is equal to


Find the area of the triangle with vertices at the point given is (1, 0), (6, 0), (4, 3).


For f(x)= `ℓn|x + sqrt(x^2 + 1)|`, then the value of`g(x) = (cosx)^((cosecx - 1))` and `h(x) = (e^x - e^-x)/(e^x + e^-x)`, then the value of `|(f(0), f(e), g(π/6)),(f(-e), h(0), h(π)),(g((5π)/6), h(-π), f(f(f(0))))|` is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×