List of top Mathematics Questions on Coordinate Geometry asked in BITSAT

In triangle $ ABC $, the length of sides are $ AB = 7 $, $ BC = 10 $, and $ AC = 5 $. What is the length of the median drawn from vertex $ B $?
The equation of the line passing through the point $ (2, 3) $ and making equal intercepts on the coordinate axes is:
The area of a triangle with vertices at points $ A(1,2) $, $ B(4,6) $, and $ C(k, 8) $ is 5. Find the value of $ k $.
If the distance between the points \( (2, -1) \) and \( (k, 3) \) is 5, then the possible values of \( k \) are:
The equation of the circle passing through the points (1,2), (4,3), and (2,–1) is:
Find the coordinates of the point which divides the line segment joining \((2, -3)\) and \((7, 9)\) in the ratio \(3:2\).
Two circles with centers $O_1$ and $O_2$ touch externally. The radius of the first circle is 4 cm and the second is 9 cm. The distance between their centers is 13 cm. Find the length of the direct common tangent.
A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of point A is
The equation x²-2√(3)xy+3y²-3√(3)y-4=0 represents
The line joining (5,0) to (10cosθ,10sinθ) is divided internally in the ratio 2:3 at point P. If θ varies, the locus of P is
The eccentricity of an ellipse, with its centre at the origin, is \dfrac12. If one of the directrices is x=4, then the equation of the ellipse is
The equation of one of the common tangents to the parabola y²=8x and x²+y²-12x+4=0 is
The line joining (5,0) to (10cosθ,10sinθ) is divided internally in the ratio 2:3 at P. If θ varies, the locus of P is
Let \(S\) be the focus of the parabola \(y^2=8x\) and \(PQ\) be the common chord of the circle \(x^2+y^2-2x-4y=0\) and the given parabola. The area of \(\triangle PQS\) is
The reflection of the point (4,-13) in the line 5x+y+6=0 is
Two tangents PQ and PR drawn to the circle x²+y²-2x-4y-20=0 from point P(16,7). If the centre of the circle is C, the area of quadrilateral PQCR is
If: p: Raju is tall and q: Raju is intelligent, then the symbolic statement p q means: