List of top Mathematics Questions on Coordinate Geometry asked in AP EAMCET

The locus of the point of intersection of perpendicular tangents drawn to the circle \( x^2 + y^2 = 10 \) is:
The normal drawn at \( (1,1) \) to the circle \( x^2 + y^2 - 4x + 6y - 4 = 0 \) is:
If the reflection of a point \( A(2,3) \) in the X-axis is \( B \); the reflection of \( B \) in the line \( x + y = 0 \) is \( C \) and the reflection of \( C \) in \( x - y = 0 \) is \( D \), then the point of intersection of the lines \( CD, AB \) is:
The perpendicular distance from the point \( (-1,1,0) \) to the line joining the points \( (0,2,4) \) and \( (3,0,1) \) is:
Let \( P(a, 4, 7) \) and \( Q(3, \beta, 8) \) be two points. If the YZ-plane divides the join of the points P and Q in the ratio 2:3 and the ZX-plane divides the join of P and Q in the ratio 4:5, then the length of line segment PQ is:
If the coordinate axes are rotated by \( 45^\circ \) about the origin in the counterclockwise direction, then the transformed equation of \( y^2 = 4ax \) is:
The combined equation of the bisectors of the angles between the lines joining the origin to the points of intersection of the curve \( x^2 + y^2 + xy + x + 3y + 1 = 0 \) and the line \( x + y + 2 = 0 \) is:
If the straight line passing through \( P(3,4) \) makes an angle \( \frac{\pi}{6} \) with the positive x-axis in the anticlockwise direction and meets the line \( 12x + 5y + 10 = 0 \) at \( Q \), then the length of the segment \( PQ \) is:
If the lines represented by
\[ ax^2+2hxy+by^2+2gx+2fy+c=0 \] intersect on the \(x\)-axis, which of the following is in general incorrect?
A stick of length \(r\) units slides with its ends on coordinate axes. Then the locus of the midpoint of the stick is a curve whose length is
The least distance from origin to a point on the line \(y=x+3\) which lies at a distance of \(2\) units from \((0,3)\) is
Suppose a triangle is formed by \(x+y=10\) and the coordinate axes. Then the number of points \((x,y)\), where \(x\) and \(y\) are natural numbers, lying inside the triangle is