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Grade 11Magical Mathematics[Interesting Approach]

  1. The centre of a circle passing through the points (0,0) & (1,0) & touching the circle x2+y2=9 is: ans is (1/2 , +-root2)..explain
  2. AB is a chord of circle x2+y2=25 . The tangents of A & B intersect at C. If (2,3) is the mid-point of AB , the area of quadrilateral OACB is:

ams is 50root (3/13) plzz explain

3. Extremities of a dagonal of a rectangle are (0,0) & (4,3).Find the equations of the tangents to the circumcentre ofthe reactangle which are parallel to this diagonal.

4. Find the equ. of circle described on the common cord of the circles x2+y2-4x-5=0 & x2+y2+8y+7=0 as diameter.

ans is x2+y2-2x+4y+1=0..explain.

Profile image of Ranjita yadav
13 Years agoGrade 11
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1 Answer

Profile image of Arun Kumar
12 Years ago

Since the circle will touch internally

Arun Kumar
IIT Delhi
Askiitians Faculty