Question

20 Coordinate System, Straight Lines and Introduction to Three-Dimensional Geometry
Concept Application Exercise 2
1. Find the locus of moving point whose coordinates are given by (e' + et, e-e') where t is parameter.
2. AB is a variable line sliding between the coordinate axes in such a way that A lies on x-axis and B lies on y-axis. If P is a
variable point on AB such that PA= b, PB = a and AB = a + b, then find the locus of P.
3. A variable line through point P(2, 1) meets axes at A and B. Find the locus of centroid of triangle OAB (where O is origin)
4. If Aſcos d, sin a), B(sin o, -cos a) and C(1, 2) are the vertices of AABC then (as a varies) find locus of its centroid.
5. Find the locus of point of intersection of the lines y + mx = Vaʼm? + b2 and my - x = ſa² + b²m²
6. Given
у
+
+
= 1 and ax + by=1 are two variable lines, a and b being the parameters connected by the relation a + b = ab.
a
b b
Find the locus of their point of intersection.
10. STRAIGHT LINE
A straight line is a curve such that every point on the line segment joining any two points on it lies on it.
110.1 Equation of Straight Line in Different Forms
10.1.1 The Slope Intercept Form
The equation of a line with slope m and making an intercept c on y-axis is y = mx + c.
AY
P(x, y)​

Answer 1

Answer:

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Answer 2

Answer:

The principle of reversibility presupposes that the attenuation of a light ray during its passage through an optical medium because of reflection, refraction, and absorption is not affected by a reversal of the direction of the ray.