Mathematics
An empty tank can be filled by one pipe in 'x' minutes and emptied by another pipe in (x + 5) minutes. Both the pipes, when opened together, can fill the empty tank in 16.8 minutes. Find the value of x.
Related Questions
In the given figure, the line segment AB meets x-axis at point A and y-axis at point B.
The point P(-5, 3) on AB divides it in the ratio 3 : 2. Find :
(i) co-ordinates of point A
(ii) co-ordinates of point B
(iii) equation of line through point P and perpendicular to AB.
(iv) the point of intersection of the line (obtained in part (iii) above) and x-axis.
Use ruler and compass only to construct a triangle ABP such that AB = 8 cm, BP = 5 cm and angle ABP = 30°.
(i) Complete the rhombus ABCD such that P is equidistant from AB and BC.
(ii) Locate a point Q on line BP such that Q is equidistant from A and B.
Using remainder and factor theorem, factorize completely, the given polynomial :
2x3 + x2 - 13x + 6