HSC Arts कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Choose the correct alternative:
The value of `1 - 1/2(2/3) + 1/3(2/3)^2  1/4(2/3)^3 + ...` is

If f'(x) = 4x – 5 and f(2) = 1, find f(x)

If f'(x) = 9x² – 6x and f(0) = – 3 find f(x)

If f” (x) = 12x – 6 and f(1) = 30, f’(1) = 5, find f(x)

A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find how long will it take for the ball to strike the ground?

A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find the speed with which will it strike the ground?

A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find how high the ball will rise?

A wound is healing in such a way that t days since Sunday the area of the wound has been decreasing at a rate of `- 6/("t" + 2)^2` cm² per day where 0 < t ≤ 8. If on Monday the area of the wound was 1.4 cm². What was the area of the wound on Sunday?

A wound is healing in such a way that t days since Sunday the area of the wound has been decreasing at a rate of `-6/("t" + 2)^2` cm² per day where 0 < t ≤ 8. If on Monday the area of the wound was 1.4 cm². What is the anticipated area of the wound on Thursday if it continues to heal at the same rate?

Choose the correct alternative:

`int (sin^2x - cos^8x)/(1 - 2sin^x cosx)  "d"x` is

Can two events be mutually exclusive and independent simultaneously?

If A and B are two events such that P(A ∪ B) = 0.7, P(A ∩ B) = 0.2, and P(B) = 0.5, then show that A and B are independent

If A and B are two independent events such that P(A ∪ B) = 0.6, P(A) = 0.2, find P(B)

If P(A) = 0.5, P(B) = 0.8 and P(B/A) = 0.8, find P(A/B) and P(A ∪ B)

If for two events A and B, P(A) = `3/4`, P(B) = `2/5`  and A ∪ B = S (sample space), find the conditional probability P(A/B)

A problem in Mathematics is given to three students whose chances of solving it are `1/3, 1/4` and `1/5`. What is the probability that the problem is solved?

A problem in Mathematics is given to three students whose chances of solving it are `1/3, 1/4` and `1/5`. What is the probability that exactly one of them will solve it?

The probability that a car being filled with petrol will also need an oil change is 0.30; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter need changing is 0.15. If the oil had to be changed, what is the probability that a new oil filter is needed?

The probability that a car being filled with petrol will also need an oil change is 0.30; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter need changing is 0.15. If a new oil filter is needed, what is the probability that the oil has to be changed?

One bag contains 5 white and 3 black balls. Another bag contains 4 white and 6 black balls. If one ball is drawn from each bag, find the probability that both are white