HSC Science कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

For the following equations, determine its order, degree (if exists)

`(("d"^3y)/("d"x^3))^(2/3) - 3 ("d"^2y)/("d"x^2) + 5("d"y)/("d"x) + 4` = 0

For the following equations, determine its order, degree (if exists)

`(("d"^2y)/("d"x^2))^2 + (("d"y)/("d"x))^2 = x sin(("d"^2y)/("d"x^2))`

For the following equations, determine its order, degree (if exists)

`sqrt(("d"y)/("d"x)) - 4 ("d"y)/("d"x) - 7x` = 0

For the following equations, determine its order, degree (if exists)

`y(("d"y)/("d"x)) = x/((("d"y)/("d"x)) + (("d"y)/("d"x))^3`

For the following equations, determine its order, degree (if exists)

`x^2 ("d"^2y)/("d"x^2) + [1 + (("d"y)/("d"x))^2]^(1/2)` = 0

For the following equations, determine its order, degree (if exists)

`(("d"^2y)/("d"x^2))^3 = sqrt(1 + (("d"y)/("d"x)))`

For the following equations, determine its order, degree (if exists)

`("d"^2y)/("d"x^2) = xy + cos(("d"y)/("d"x))`

For the following equations, determine its order, degree (if exists)

`("d"^2y)/("d"x^2) + 5 ("d"y)/("d"x) + int y "d"x = x^3`

For the following equations, determine its order, degree (if exists)

x = `"e"^(xy((dy)/(dx))`

Choose the correct alternative:

The order and degree of the differential equation `("d"^2y)/("d"x^2) + (("d"y)/("d"x))^(1/3) + x^(1/4)` = 0 are respectively

Choose the correct alternative:

The order and degree of the differential equation `sqrt(sin  ) ("d"x + "d"y) = sqrt(cos  x)  ("d"x - "d"y)` is

Choose the correct alternative:

The order of the differential equation of all circles with centre at (h, k) and radius 'a' is

Choose the correct alternative:

The degree of the differential equation `y(x) = 1 +  ("d"y)/("d"x) + 1/(1.2) (("d"y)/("d"x))^2 + 1/(1*2*3) (("d"y)/("d"x))^3 + ....` is

Choose the correct alternative:

If p and q are the order and degree of the differential equation `y("d"y)/("d"x) + x^3 (("d"^2y)/("d"x^2)) + xy = cos x`, when

Suppose X is the number of tails occurred when three fair coins are tossed once simultaneously. Find the values of the random variable X and number of points in its inverse images

In a pack of 52 playing cards, two cards are drawn at random simultaneously. If the number of black cards drawn is a random variable, find the values of the random variable and number of points in its inverse images

An urn contains 5 mangoes and 4 apples. Three fruits are taken at random. If the number of apples taken is a random variable, then find the values of the random variable and number of points in its inverse images

Two balls are chosen randomly from an urn containing 6 red and 8 black balls. Suppose that we win ₹ 15 for each red ball selected and we lose ₹ 10 for each black ball selected. X denotes the winning amount, then find the values of X and number of points in its inverse images

A six sided die is marked ‘2’ on one face, ‘3’ on two of its faces, and ‘4’ on remaining three faces. The die is thrown twice. If X denotes the total score in two throws, find the values of the random variable and number of points in its inverse images

Choose the correct alternative:

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. Then the possible values of X are