List of top Mathematics Questions on Straight lines asked in AP EAPCET

Suppose that the sides passing through the vertex \((\alpha,\beta)\) of a triangle are bisected at right angles by the lines \[ y^2-8xy-9x^2=0. \] Then the centroid of the triangle is

Suppose \(P\) and \(Q\) lie on \[ 3x+4y-4=0 \] and \[ 5x-y-4=0 \] respectively. If the midpoint of \(PQ\) is \((1,5)\), then the slope of the line passing through \(P\) and \(Q\) is

The length of intercept of \[ x+1=0 \] between the lines \[ 3x+2y=5 \] and \[ 3x+2y=3 \] is

Suppose that the three points \(A\), \(B\) and \(C\) in the plane are such that their \(x\)-coordinates as well as \(y\)-coordinates are in G.P. with the same common ratio. Then the points \(A\), \(B\) and \(C\)

If the points of intersection of the coordinate axes and \(|x+y|=2\) form a rhombus, then its area is

Suppose, in triangle \(\triangle ABC\), \(x-y+5=0\), \(x+2y=0\) are respectively the equations of the perpendicular bisectors of the sides \(AB\) and \(AC\). If \(A=(1,-2)\), the equation of the line joining \(B\) and \(C\) is

If the pair of straight lines \[ 9x^2+axy+4y^2+6x+by-3=0 \] represents two parallel lines, then

A line passing through \(P(2,3)\) and making an angle of \(30^\circ\) with the positive direction of \(x\)-axis meets \[ x^2-2xy-y^2=0 \] at \(A\) and \(B\). Then the value of \(PA\cdot PB\) is

For \(a,b,h>0\), if the slope of one of the lines represented by \[ a^2x^2+2hxy+b^2y^2=0 \] is twice that of the other, then the value of \[ \frac{h}{ab} \] is:

Suppose \(A\) and \(B\) are the points at which the line \[ x+y-\lambda=0 \] meets the pair of straight lines \[ x^2+y^2-2x-4y+2=0. \] If \(\angle AOB=90^\circ\), then the value of \(\lambda\) is:

The line on which the lines \[ ax+by=1 \] and \[ bx+ay=1 \] with \(a\neq 0\neq b\), intersect for any real values of \(a\) and \(b\), is:

For \(x\) and \(y\) satisfying \[ |x|+|y|=|x-3|+|y-2|, \] which of the following is correct?