Find the value of P if the line joining (P, 4) and (6, -2...
Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).
4
6
3
0
Correct answer is A
The line joining (P, 4) and (6, -2).
Gradient: −2−46−P=−66−P
The line joining (2, P) and (-1, 3)
Gradient: 3−P−1−2=3−P−3
For perpendicular lines, the product of their gradient = -1.
(−66−P)(3−P−3)=−1
6−2P6−P=−1⟹6−2P=P−6
6+6=P+2P⟹P=123=4
The sum of the root of a quadratic equation is 52 and the product of its root is 4. The...
Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one...
The angle subtended by a diameter of a circle at the circumference is a/an ...
The pie chart above shows the monthly distribution of a man's salary on food items. If he spent ...
Find the value of t such that the expression 1t + 43 - 56t + ...
If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x. ...