Straight Line Questions

If the straight line 3x + 4y + 5 – k(x + y + 3) = 0 is parallel to y-axis, then the value of k is

Solution : A straight line is parallel to y-axis, if its y-coefficient is zero i.e. 4 – k = 0  i.e.  k = 4 Similar Questions The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is If the line 2x + y = k passes through the point …

If the straight line 3x + 4y + 5 – k(x + y + 3) = 0 is parallel to y-axis, then the value of k is Read More »

If x + 4y – 5 = 0 and 4x + ky + 7 = 0 are two perpendicular lines then k is

Solution : \(m_1\) = -\(1\over 4\)  \(m_2\) = -\(4\over k\) Two lines are perpendicular if \(m_1 m_2\) = -1 \(\implies\)  (-\(1\over 4\))\(\times\)(-\(4\over k\)) = -1  \(\implies\)  k = -1 Similar Questions If the straight line 3x + 4y + 5 – k(x + y + 3) = 0 is parallel to y-axis, then the value …

If x + 4y – 5 = 0 and 4x + ky + 7 = 0 are two perpendicular lines then k is Read More »

Find the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14.

Solution : Let the equation of line be \(x\over a\) + \(y\over b\) = 1  …..(i) This line passes through (3,4), therefore \(3\over a\) + \(4\over b\) = 1  …….(ii) It is given that a + b = 14  \(\implies\)  b = 14 – a in (ii), we get \(3\over a\) + \(4\over 14 – …

Find the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14. Read More »

The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is

Solution : Since, Slope of line passing through two points is m = \(y_2 – y_1\over x_2 – x_1\). so, slope of chord passing through two points is \(4-(-3)\over 3-2\) = 7 Now, Tangent line is parallel to chord. Therefore slope of tangent line is equal to slope of chord, Hence slope of tangent line …

The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is Read More »