11_circle_test.docx - IIT-JEE AIPMT Engineer Your Education...

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IIT-JEE/ AIPMT Engineer Your Education to Success with a Group Exclusive of NITIANS Time- 1hrs MATHEMATICS XI th Max. Marks- 25 Q1 Find the value of ‘k’, if line y-k= 3 x touches the circle x 2 +y 2 =16? (2marks) Q2 Find the equations of the circle which touches y axis at the origin and has radius 4 (3marks) Q3 If the equations of two diameters of a circle are x+y=6 and x+2y=4 and radius of the circle is 10, find the equation of the circle (3marks) Q4 Find equations of Circle, which passes through point of intersection of 3x-2y=1 and 4x+y=27 and centre is (2,-3) ? (3marks) Q5 If the abscissa and ordinates of two points P and Q are the roots of the equation x 2 +2ax-b 2 =0 and x 2 +2px-q 2 =0 respectively then find the equation of the circle with PQ as the diameter? (5marks) Q6 Find length of diameter of circle which touches x axis at point (1,0) and passes through the point (2,3) (4marks) Q7 Show that points (5,5),(6,4),(-2,4),(7,1) lie on a circle. Find equation, centre and radius (5marks) IIT-JEE/ AIPMT
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