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 »