Equation of a circle

JEE Main Mathematics · Circle · 9 questions, latest first

• Let the centre of the circle x^2+y^2+2 g x+2 f y+25=0 be in the first quadrant and lie on the line 2 x-y=4. Let the area of an…20266 April, Shift 1 · Q22
• Let the shortest distance from (a, 0), a>0, to the parabola y^2=4 x be 4. Then the equation of the circle passing through the…202523 January, Shift 2 · Q10
• The focus of the parabola y^2=4 x+16 is the centre of the circle C of radius 5. If the values of λ, for which C passes through…202523 January, Shift 2 · Q25
• Let a circle passing through (2,0) have its centre at the point (h, k). Let (x_c, y_c) be the point of intersection of the lines…20249 April, Shift 1 · Q13
• Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F is on the…20245 April, Shift 2 · Q14
• A square is inscribed in the circle x^2+y^2-10 x-6 y+30=0. One side of this square is parallel to y=x+3. If (x_i, y_i) are the…20244 April, Shift 1 · Q15
• Let A be the point (1,2) and B be any point on the curve x^2+y^2=16. If the centre of the locus of the point P, which divides the…202310 April, Shift 2 · Q12
• A circle passing through the point P(α, β) in the first quadrant touches the two coordinate axes at the points A and B. The point…20236 April, Shift 1 · Q27
• Let P(a_1, b_1) and Q(a_2, b_2) be two distinct points on a circle with center C(√2, √3). Let O be the origin and OC be…202330 January, Shift 2 · Q88