Total Price:

There are no items in this cart.
Continue Shopping

from the origin,chords are drawn to the circle square(x-1) +square(y)=1.the equation of the locus of the mid pt. of these chord is....

3 years ago


Answers : (2)

3 years ago

O(0,0) lies on the circle.

general form of any point on this circle is given by (-g+r(cosØ),-f+r(sinØ)) hence here it is P(1+1(cosØ),1(sinØ)).

thus for mid pt. of chord OP:

x= (0+1+1cosØ)/2 =>(1+cosØ)/2    (1)

y=sinØ/2;     (2)

from (1) and (2), (cosØ)^2= (2x-1)^2,   (3)

                          (sinØ)^2=(2y)^2;     (4)

adding (3) and (4)


 or x^2 +y^2-x=0 ,which is the required eq.


3 years ago

Post Your Answer

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
A straight line through p(2,3) inclined at an angle 60 degrees with positive y axis in clockwise direction.The co-ordinates of one of the points on it at a distance 4 units from P is.?
solution: as shown.. the equn of the line (x – x 1 ) / cos A = ( y – y 1 ) / sin A = R where A = angle of inclination with X-axis R = distance of the point on the line so ( x...
Ajay Verma 8 months ago
ABCD is rectangle and P is a point moving inside it. What does d(P, AB)
Hello Student, Please post the full question again. Your question is not so clear. Thanks,...
Nishant Vora 5 months ago
is there any formula for finding pt. of intersection between: ax+by+c=0 bx+ay+c=0
Yes, you can apply cross multiplication method(similar to solving determinants). In this eqns, x = -y = 1 . Hence, x=y= -c bc-ac ac-bc a 2 -b2 a+b
Ishan Mistry 3 months ago
how you can say that they intersect at y=x , its for sure that they are symmmetric but i think its only a special case that they intersect at y=x.
daksh 2 months ago
i think that there is a better way , we see that when we replace x with y in any eqn. we get the other one which means that the st. line intersect at y=x line as they are symmeteric about...
Abhishek Singh 2 months ago
evaluate the following integral ∫ cos x / 2 + 3 sin x dx
Ans: Hello student, Please find the answer to your question below
Jitender Singh 6 months ago
what is root x divided by x
Q – √x / X its same as you divide √2 / 2 = 1/ √2 => √x / x = 1/√x but if you want full derivation here it is since we know that √x = x ½ ------------------------------------- 1 and x = x 1...
Ashwin 5 months ago
see attachment ...and please tell the method which is used in solution please reply anyone ….i heard lot about this website
Ans: Hello student, Please find the answer to your question below Now looking at the problem in hand There are total 100 term in L out of which 25 terms are zero. Rest all the terms are...
Jitender Singh 6 months ago
View all Questions »