Commerce (English Medium) Class 12 - CBSE Question Bank Solutions

If A and B are symmetric matrices of the same order, then ____________.

If [x] stands for the integral part of x, then ____________.

If A and B are symmetric matrices of the same order, then ____________.

If A = `[(3, "x" - 1),(2"x" + 3, "x" + 2)]` is a symmetric matrix, then x = ____________.

If A is any square matrix, then which of the following is skew-symmetric?

If A `= [(6,8,5),(4,2,3),(9,7,1)]` is the sum of a symmetric matrix B and skew-symmetric matrix C, then B is ____________.

The vector equation of the line `(x - 5)/3 = (y + 4)/7 = (z - 6)/2` is ______.

The vector equation of the line through the points (3, 4, –7) and (1, –1, 6) is ______.

The Cartesian equation of the plane `vec"r" * (hat"i" + hat"j" - hat"k")` = 2 is ______.

The vector equation of the line `(x - 5)/3 = (y + 4)/7 = (z - 6)/2` is `vec"r" = 5hat"i" - 4hat"j" + 6hat"k" + lambda(3hat"i" + 7hat"j" + 2hat"k")`.

The diagonal elements of a skew symmetric matrix are ____________.

The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x - `1/2 x^2` where x is the number of days exposed to sunlight.

The rate of growth of the plant with respect to sunlight is ______.

The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x - `1/2 x^2` where x is the number of days exposed to sunlight.

What is the number of days it will take for the plant to grow to the maximum height?

The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x - `1/2 x^2` where x is the number of days exposed to sunlight.

What is the maximum height of the plant?

The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x - `1/2 x^2` where x is the number of days exposed to sunlight.

What will be the height of the plant after 2 days?

The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x - `1/2 x^2` where x is the number of days exposed to sunlight.

If the height of the plant is 7/2 cm, the number of days it has been exposed to the sunlight is ______.

Find the vector and the cartesian equations of the plane containing the point `hati + 2hatj - hatk` and parallel to the lines `vecr = (hati + 2hatj + 2hatk) + s(2hati - 3hatj + 2hatk)` and `vecr = (3hati + hatj - 2hatk) + t(hati - 3hatj + hatk)`

If A = [a_ij] is a skew-symmetric matrix of order n, then ______.

If `[(2, 0),(5, 4)]` = P + Q, where P is symmetric, and Q is a skew-symmetric matrix, then Q is equal to ______.

Number of symmetric matrices of order 3 × 3 with each entry 1 or – 1 is ______.