Mathematics
Find the smallest value of x for the inequation x - 3(2 + x) < 2(3x - 1) when :
(i) x ∈ W (whole numbers)
(ii) x ∈ N (natural numbers)
(iii) x ∈ I (integers)
Related Questions
The equation of a line is 7 - 3x - 4y = 0. Find :
(i) the slope of the line
(ii) the equation of the line perpendicular to the given line and passing through the intersection of the lines x - y + 2 and 3x + y - 10 = 0.
From the top of a 80 m high tower, the angles of depression of two men, on either sides of the tower, are found to be 32° and 58°. Find the distance between the two men correct to the nearest whole numbers.
In the given figure, PA and PB are tangents at the points A and B respectively of a circle with center O. Q and R are points on the circle, if ∠APB = 70°, find :
(i) reflex angle AOB
(ii) ∠AQB
(iii) ∠ARB
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.
