Q1.the value of a if the distance between the points A(-3, -14) and B(a, -5) is 9 units
Answers
Explanation:
hope you like my anser. please mark me as brian list. then i followyou then i answer you
Explanation:
Given
We have given the distance between A(-3,-14) and B(a,-5) is 9 units
To Find
We have to find the value of 'a'
How to solve
step 1:We will use distance formula because distance is given and points are given.
Step 2: Now, Equate the both sides and hence we will find the value of a .
A(-3,-14) & B (a,-5) and distance is 9 units
Distance formula
Distance formulaD=√(x₂- x₁)²+(y₂- y₁)²
Distance between A and B
A (-3,-14) & B( a,-5)
x₁= -3;x₂ =a ; y₁= -14 & y₂ = -5
Distance between AB
=> 9= √{ (a-(-3)}²+(-5-(-14))²
=>9=√(a+3)²+(-5+14)²
=>9= √(a+3)²+9²-------(1)
Identity ➙(a+b)²=a²+b²+2ab
=>9=√ a²+3²+2(a)(3)+(9)²
=>9= √a²+9+6a+81
=>9= √ a²+6a +81
Squaring both sides
=> 81= a²+6a +81
=> a²+6a = 81-81
=>a²+6a = 0
=>a(a+6)=0
a= 0 or a = -6