Learn to Create a Robotic Device Using Arduino in the Free Webinar. Register Now
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
Let A be the center of the circle. x^2+y^2-2x-4y-20=0. Suppose that the tangents at the points B(1,7) & D(4,-2) on the circle meet at the point C. Find the the area of the quadrilateral ABCD. Let A be the center of the circle. x^2+y^2-2x-4y-20=0. Suppose that the tangents at the points B(1,7) & D(4,-2) on the circle meet at the point C. Find the the area of the quadrilateral ABCD.
solution:tangent at point B(1,7) :x + 7y -( x+1) - 2(y+7) -20 = 05y -35 = 0y = 7........................ (1)tangent at point D(4,-2) :4x - 2y - (x +4) - 2(y-2) - 20 = 03x -4y - 20 = 0 .................. (2)intersection of (1) & (2)point c = (16, 7)so vertex of quadrilateral are A(1,2) B(1,7) C( 16,7) D (4,-2)Area of ABCD = Area of ABC + Area of ADC( because Area of ABC = Area of ADC)Area of ABCD = 2 *(Area of ABC)Area of ABC = 75/2 (ABC is a right angle triangle)so Area of ABCD = 75Thanks and Regards,Ajay verma,askIITians faculty,IIT HYDERABAD
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -