If the points ( -3 , a ) and ( b , 4 ) lie on a straight line with equation y = 4x , then the value of a+b is : (a)9 (b)-11 (c)2/5 (d)10
Answers
Answer:
a=-12,b=1
Step-by-step explanation:
Since , (-3,a) lies on straight line with equation y=4x ,it must satisfy the equation.
Hence a=4(-3)=-12
I.e,a=-12.
Also ,(b,4) lies on straight line with equation y=4x ,it must satisfy the equation.
Hence,4=4b ,i.e,b=1.
The value of (a+b) is -11.
Option (b) is correct.
Given:
- Two points (-3,a) and (b,4) lie on a straight line y=4x.
To find:
- The value of (a+b) is:
- (a)9
- (b)-11
- (c)2/5
- (d)10
Solution:
Formula/concept to be used:
- Put the points in the equation and find the values of a and b.
Step 1:
Find the value of 'a'.
Put the point (-3,a) in the equation y=4x.
Put x=-3 and y=a
Thus,
The value of a is -12.
Step 2:
Find the value of 'b'.
Put the point (b,4) in the equation y=4x.
Put x=b and y=4
Thus,
The value of b is 1.
Step 3 :
Find the value of (a+b).
Thus,
The value of (a+b) is -11.
Option (b) is correct.
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