List of top Mathematics Questions on Coordinate Geometry asked in NIMCET

Let \((x_0,y_0)\in\mathbb Z^2\) be a point on straight line \(8x-3y=11\) which is equidistant from coordinate axes. Then point \((x_0,y_0)\) will lie only in:

Which of the following equation represents common tangent to parabola \(y=-x^2\) and \(y=(x-2)^2\)?

Segments of lines \[ 2x+3y=1 \] and \[ 4x-3y=11 \] are diameters of a circle of area \(153.94\) square units. Then the equation of circle with integer radius is:

A triangle has a vertex at \((1,2)\) and the midpoints of two sides through it are \((-1,1)\) and \((2,3)\). Find its area.

The eccentricity of ellipse whose centre at origin is \(\frac{1}{2}\). If one of its directrices is \(x=-4\), then equation of normal to it at \(\left(1,\frac{3}{2}\right)\) is:

Find the area of the triangle in the right half plane formed by the lines \(x-y=0\) and \(x+y=0\), and which is tangent to the hyperbola \[ x^2-y^2=a^2. \]