Question
A total of 24 points are given on a plane, out of which
10 are collinear. How many distinct straight lines can be formed using these points?Solution
Lines formed from 24 points = 24C2 = (24 × 23)/2 = 12 × 23 = 276
But the lines drawn with 10 collinear points will be same and it will be considered as single line.
So, lines formed from 10 collinear points = 10C2 = (10 × 9)/2 = 45
Desired number of straight lines that can be formed = 276 – 45 + 1 = 232
Suppose the average of 322, 386, 418, 499 and 'a' is 437, then ind the value of 'a'
- What file extension does MS PowerPoint use by default?
Find the distance between points A(2, 3) and B(7, 8).
I. x ² – 10x + 21 = 0
II. y ² – 8y + 15 = 0
The ages of two siblings, John and Mary, are in the ratio of 5:3. Five years ago, the sum of their ages was 38 years. What are their current ages?
In a circle, two chords AB and CD intersect inside the circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?
Determine the mean of the following observations:
24, 26, 22, 25, 20, 21, 24, 25A cone has a base radius of 6 cm and a height of 8 cm. Find its volume and slant height (use π = 3.14).
A and B invested ₹50,000 and ₹75,000, respectively, in a business. After 6 months, A withdrew ₹10,000, and B added ₹25,000. At the end of the ye...
