Q69.If the three distinct lines x + 2ay + a = 0, x + 3by +b = 0 and x + 4ay + a = 0 are concurrent, then the point (a, b) lies on a : (1) circle (2) hyperbola (3) straight line (4) parabola
What This Question Tests
This problem involves using the section formula to find the coordinates of the intercepts made by a line on the coordinate axes, given a trisection point, and then forming the equation of the line.
Concepts Tested
Formulas Used
If (x,y) divides (x1,y1) and (x2,y2) in ratio m:n, then x = (nx1+mx2)/(m+n), y = (ny1+my2)/(m+n)
Equation of a line in intercept form: x/a + y/b = 1
📚 NCERT Sections This Tests
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
10.2 — What Is The Shape Of The Wavefront In Each Of The Following Cases:
Physics Class 12 · Chapter 10
10.2 What is the shape of the wavefront in each of the following cases: (a) Light diverging from a point source. (b) Light emerging out of a convex lens when a point source is placed at its focus. (c) The portion of the wavefront of light from a distant star intercepted by the Earth.
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Straight Lines
- Topic
- Section formula and equation of a line
- Year
- 2014
- Shift
- 12 Apr Online
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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