मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Choose the correct alternative: If A = [1tan θ2-tanθ21] and AB = I2, then B =

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

If A = `[(1, tan  theta/2),(- tan theta/2, 1)]` and AB = I2, then B = 

पर्याय

  • `(cos^2 theta/2)"A"`

  • `(cos^2 theta/2)"A"^"T"`

  • `(cos^2theta)"I"`

  • `(sin^2  theta/2)"A"`

MCQ
Advertisements

उत्तर

`(cos^2 theta/2)"A"^"T"`

shaalaa.com
Applications of Matrices: Solving System of Linear Equations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Applications of Matrices and Determinants - Exercise 1.8 [पृष्ठ ४९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 1 Applications of Matrices and Determinants
Exercise 1.8 | Q 14 | पृष्ठ ४९

संबंधित प्रश्‍न

Solve the following system of linear equations by matrix inversion method:

2x – y = 8, 3x + 2y = – 2


Solve the following system of linear equations by matrix inversion method:

x + y + z – 2 = 0, 6x – 4y + 5z – 31 = 0, 5x + 2y + 2z = 13


A man is appointed in a job with a monthly salary of certain amount and a fixed amount of annual increment. If his salary was ₹ 19,800 per month at the end of the first month after 3 years of service and ₹ 23,400 per month at the end of the first month after 9 years of service, find his starting salary and his annual increment. (Use matrix inversion method to solve the problem.)


Solve the following systems of linear equations by Cramer’s rule:

5x – 2y + 16 = 0, x + 3y – 7 = 0


Solve the following systems of linear equations by Cramer’s rule:

3x + 3y – z = 11, 2x – y + 2z = 9, 4x + 3y + 2z = 25


Solve the following systems of linear equations by Cramer’s rule:

`3/x - 4/y - 2/z - 1` = 0, `1/x + 2/y + 1/z - 2` = 0, `2/x - 5/y - 4/z + 1` = 0


A chemist has one solution which is 50% acid and another solution which is 25% acid. How much each should be mixed to make 10 litres of a 40% acid solution? (Use Cramer’s rule to solve the problem).


A boy is walking along the path y = ax2 + bx + c through the points (– 6, 8), (– 2, – 12), and (3, 8). He wants to meet his friend at P(7, 60). Will he meet his friend? (Use Gaussian elimination method.)


Choose the correct alternative:

If `("AB")^-1 = [(12, -17),(-19, 27)]` and `"A"^-1 = [(1, -1),(-2, 3)]` then `"B"^-1` =


Choose the correct alternative:

If A = `[(3/5, 4/5),(x, 3/5)]` and AT = A–1, then the value of x is


Choose the correct alternative:

If A = `[(costheta, sintheta),(-sintheta, costheta)]` and A(adj A) = `[("k", 0),(0, "k")]`, then k =


Choose the correct alternative:

If A = `[(2, 3),(5, -2)]` be such that λA–1 = A, then λ is


Choose the correct alternative:

If ρ(A) ρ([A|B]), then the system AX = B of linear equations is


Choose the correct alternative:

If 0 ≤ θ ≤ π and the system of equations x + (sin θ)y – (cos θ)z = 0, (cos θ) x – y + z = 0, (sin θ) x + y + z = 0 has a non-trivial solution then θ is


Choose the correct alternative:

Let A = `[(2, -1, 1),(-1, 2, -1),(1, -1, 2)]` and 4B = `[(3, 1, -1),(1, 3, x),(-1, 1, 3)]`. If B is the inverse of A, then the value of x is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×