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After the tremendous success of our last year Important Questions Bank for Kerala Board (+2) Board Exam 2016 and 2017 and 2018 we have also created a list of **Most Important Question Bank for Kerala Board (+2) HSE (HSC) Board Exam 2019** which are likely to appear in HSC Board Exams this year.

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**Maths Commerce**

- If a line has the directions ratios -18,12 , -4, then what are its direction cosines?
- Show that the points(2,3,4),(-1,-2,1),(5,8,7) are collinear
- If , then find the value of x+y
- Assume that each born child is equally like to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that (i) the youngest is a girl. (ii) at least one is a girl?
- Find the area of the region bounded by y^2=9x, x=2, x=4 and the y-axis in the first quadrant.
- solve by product rule
- Find the vector and the Cartesian equations of the lines that pass through the origin and (5,-2,3).
- There are two bags , one of which contains 3 black and 4 white balls while the other contains 4 black and 3 white balls. A die is thrown at random. If it shows up 1 or 3, a ball is taken from the 1
^{st}bag but it shows up any other number, a ball is chosen from the second bag. Find the probability of choosing a black ball. - Determine the direction cosines of the normal to the plane and the distance from the origin when z=2.
- Is the function f defined by f(x)= continuous at x=0 or x=1 or x=2 ?

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