value of x

y = sin _1 x ..

If the following matrix is a triangular matrix, find the value of ‘x’.

As the given matrix is triangular, all the elements above or below the diagonal must be 0. Since all the elements above the diagonal are not 0s, the only possibility of the matrix to be triangular is, if 2(x 4) = 0. Therefore, 2(x 4) = 0, or, (x 4) = 0 or, x = ..

4) Find the value of x in each of the following figure.

Solution: (i) x = 180-70(opp. angles of a cyclic quadrilateral are supplementary) X= 110 (ii) x=180-90(opp. angles of a cyclic quadrilateral are supplementary) X=90 (iii) x=180-85(opp. angles of a cyclic quadrilateral are supplementary) X=9..

In the follwing matrix equation, find the values of ‘x’ and ‘y’.

If two matrices are equal, then the corresponding elements in both the matrices must be equal. Let A be the matrix on the left side and B be the matrix on the right side. b 12 = y and b 21 = x But b 12 = a 12 and b 21 = a 21 a 12 = 31 and a 21 = 16 Therefore x = 16 and y = 3..

The matrix shown below is a scalar matrix. Find the values of ‘x’ and ‘y’.

As the given matrix is a scalar matrix, all the diagonal elements must be same. Therefore x + 4 = 6 and y + 3= 6 Or, x = 2 and y = 3..

2. Given A (2, 1) and B (x, 5), find the value(s) of x if AB = 5.

In a coordinate plane ,Given A (2, 1) and B (x, 5), find the value(s) of x if AB = 5. Answer: AB = 5 AB 2 = 5 2 (x 2 - x 1 ) 2 + (y 2 - y 1 ) 2 = 25 (x - 2) 2 + (5 - 1) 2 = 25 (x - 2) 2 + 16 = 25 (x - 2) 2 = 9 x - 2 = ..

8. The distance between A(1, 3) and B(x, 7) is 5. Calculate the possible values of x.

coordinate geometry help Answers 8: AB = $\sqrt{(x-1)^2 +(7-3)^2}$ 5 = $\sqrt{x^2+1-2x+16}$ 5 = $\sqrt{x^2-2x+17}$ Squaring both sides, we get 25 = x 2 -2x + 17 x 2 - 2x - 8 = 0 x 2 - 4x + 2x - 8 = 0 ..

If (x+1, y-2) = (3,2) then find the values of x and y

Since the ordered pairsare equal, the corresponding elements are equal. (x+1, y-2) = (3,2) x+1 = 3 and y-2 = 2 Solving we get, x = 2 and y = ..

If tan"1 (x +1) + tan"1 x + taif1 (x -1) = tan-13, then x = (a) 0 (b) -1 (c) 3 (d) 13, for integral values of x

Sol. tan -1 (x + 1) + tan" 1 (x - 1) = tan" l t 3 - tan -1 x / x + l + x-P l-(x 2 -l) ..

Two vectors given by 7i + yj + 9k and xi + 5j + zk are found to be equal. What are the values of x, y and z?

There is a very imoprtant concept on base vectors and vector components. Two vectors are equal if and only if their corresponding components are equal. Therefore, 7i = xi , yj = 5j and 9k = zk or, x = 7, y = 5 and z = ..

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