MEDIUM
11th Maharashtra Board
IMPORTANT
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Write the parametric equations of the circles (x−3)2+(y+4)2=25

Important Questions on Circle

MEDIUM
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 2
Find the parametric representation of the circle 3x2+3y2-4x+6y-4=0.
MEDIUM
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 3
Find the equation of a tangent to the circle x2+y2−3x+2y=0 at the origin.
MEDIUM
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 4
Show that the line 7x−3y−1=0 touches the circle x2 +y2+5x−7y+4=0 at point  (1,2).
MEDIUM
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 5
Find the equation of a tangent to the circle x2 +y2−4x+3y+2=0 at the point 4,-2.
HARD
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>MISCELLANEOUS EXERCISE - 6>Q 1
Equation of a circle which passes through (3,6) and touches the axes is
HARD
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>MISCELLANEOUS EXERCISE - 6>Q 2
If the lines 2x−3y=5 and  3x−4y=7are the diameters of a circle of area 154 sq. units, then find the equation of the circle
MEDIUM
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>MISCELLANEOUS EXERCISE - 6>Q 3
Find the equation of the circle which passes through the points  (2, 3) and  (4, 5) ) and the centre lies on the straight line  y − 4x + 3 = 0.
HARD
11th Maharashtra Board
IMPORTANT
Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>MISCELLANEOUS EXERCISE - 6>Q 4
The equation of the tangent to the circle x2+y2=4 which are parallel to x+2y+3=0 are