The line x+7y=5 cuts the circle xx2+yyy2=25 at the points Pand Q.Find:i)Pand Qii)the midpoint of PQ
Chiemerie , 3 Years ago
Grade 10
Electric Current> The line x+7y=5 cuts the circle x x2+y yy...
1 Answers
Ram Kushwah
Last Activity: 3 Years ago
The equation of line is x+7y=5 and eqn of circle is : x²+y²=25
x+7y=5
so x=5-7y
Putting the value of x in the eqn of the circle
(5-7y)²+y²=25
25-70y+49y²+y²=25
50y²-70y=0
50y(y-70/50)=0
so y=0 or y= 7/5
Putting y= 0 in eqn of line
x+0=5, x=5
putting y=7/5
x+7*7/5=5
5x+49=25
5x=24
x=24/25
Thus The points P and Q are
P(5,0) and Q(24/25,7/5)
Now the coordinates of mid point of PQ is:
{ ( 5+24/25)/2, (0+7/5)/2)
Or (149/50,7/10)
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on Electric Current
The fig. Shows a network of resistance in which the point A is earthed
Electric Current
0 Answer Available
Last Activity: 2 Year ago(s)
When a p.d of 2v is applied across a resistor, 10j of energy are covered. What charge flows through the resistor?
Electric Current
0 Answer Available
Last Activity: 2 Year ago(s)
Please provide it's solution. In video form Find the equivalent resistance of the given figure
Electric Current
0 Answer Available
Last Activity: 2 Year ago(s)
The resistivity of material is 10 ohm m at 30 C when the temperature drops to 28 then the resistivitydrops by 2. The temperature coefficient of resistivity of material is
Electric Current
0 Answer Available
Last Activity: 2 Year ago(s)
Three cells of 2.0v each and internal resistance of 1.0 each are connected in series and in parallel calculate the new emf and new internal resistance in each connection
Electric Current
0 Answer Available
Last Activity: 2 Year ago(s)