Question
The average of four numbers is 200. Two of the numbers
are equal (not least), and 70 more than the least number. If the 4th number is four times the least number then find the average of smallest and largest number.Solution
ATQ, Let the two equal numbers be ‘c’ each Therefore, least number = (c – 70) 4th number = 4(c – 70) According to the question, 4(c – 70) + c – 70 + c + c = 4 × 200 Or, 8c – 280 = 800 Or, c = 1080/8 = 135 Therefore, 4 numbers are 135, 135, 65, and 260 Therefore, required average = (260 + 65)/2 = 162.5
Find the area of triangle formed by lines 4x-6y=24 x-axis and y-axis?
Find the co-ordinate of the centroid of a triangle whose vertices are (1,3), (2,1) and (2,5)?
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
- What is the reflection of the point (8, -5) in the line y = 2?
Relevant for Exams:
