Determine the hight above the dashed line XX' attained by the water stream coming out through the hole is situtade at point B in the diagram given below. Given that `h=10 m, L=2 m` and `alpha =30^(@)`.

Find the slope of the lines passing through the given points L(-2, -3) and M(-6, -8)

(b) Determine the value of a if the straight line 2x+ay=10(a-30) passes through the point (1,2)) .

Figure shows a large closed cylindrical tank containing water, Initially the air trapped above the water surface has a height h_(0) and pressure 2p_(0) where p_(0_ is the atmospheric pressure. There is a hole in the wall of tank at a depth h_(1) below the top from which water comes out. A long vertical tube is connected as shown. (a) Find the height h_(2) of the water in the long tube above the top initially. (b) Find the speed with which water comes out of hole.(c)Find the height of the water in the long tube above the top when the water stops coming out of the hole.

Shows a large closed cylindrical tank containing water, Initially the air trapped above the water surface has a height h_(0) and pressure 2p_(0) where p_(0_ is the atmospheric pressure. There is a hole in the wall of tank at a depth h_(1) below the top from which water comes out. A long vertical tube is connected as shown. (a) Find the height h_(2) of the water in the long tube above the top initially. (b) Find the speed with which water comes out of hole.(c)Find the height of the water in the long tube above the top when the water stops coming out of the hole.

Consider the line oversetharr(PQ) given below and find whether the given statements are true or false L , M and N are points on line segment bar(LN) .

Find the slope of line passing through the given points.(iv) L(-2,-3) and M(-6,-8).

In the given figure, lines l and m are parallel. Three concurrent lines through point O meet line l at points A, B and C, and line m at points P, Q and R as shown. Prove that : (AB)/(BC) = (QR)/(PQ)