Advertisements
Advertisements
Question
If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is
Options
3
6
9
12
Advertisements
Solution
9
Explanation;
Hint:
Since the three points are collinear.
Area of a triangle is 0

5p + 18 + 42 – (21 + 6p + 30) = 0
5p + 60 – (51 + 6p) = 0
5p + 60 – 51 – 6p = 0
– p + 9 = 0
– p = – 9
p = 9
APPEARS IN
RELATED QUESTIONS
Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540 cm. Find its area.
Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.
Sides of a triangle are cm 45 cm, 39 cm and 42 cm, find its area.
Determine whether the sets of points are collinear?
`(-1/2, 3), (-5, 6) and (-8, 8)`
A triangular shaped glass with vertices at A(– 5, – 4), B(1, 6) and C(7, – 4) has to be painted. If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y-axis. The path travelled by the man is
The area of a triangle is 5 sq. units. Two of its vertices are (2, 1) and (3, −2). The third vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.
The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is
The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs 3 per m2 is Rs 918.
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.
