NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter 10: STRAIGHT LINES

Fill in the Blanks

If \(a, b, c\) are in A.P., then the straight lines \(ax + by + c = 0\) will always pass through ____.

The line which cuts off equal intercept from the axes and passes through the point \((1, -2)\) is ____.

Equations of the lines through the point \((3, 2)\) and making an angle of \(45^\circ\) with the line \(x - 2y = 3\) are ____.

The points \((3, 4)\) and \((2, -6)\) are situated on the ____ of the line \(3x - 4y - 8 = 0\).

A point moves so that square of its distance from the point \((3, -2)\) is numerically equal to its distance from the line \(5x - 12y = 3\). The equation of its locus is ____.

Locus of the mid-points of the portion of the line \(x \, \sin\theta + y \, \cos\theta = p\) intercepted between the axes is ____.