Question

If a line joining two points A (2, 0) and B (3, 1) is rotated about A in anticlockwise direction through and angle 15o, then equation of the line is the new position is

Solution

Correct option is

     

If AC is the new position of the line AB then CAX = 45o + 15o = 60oand thus its equation is y = tan 60o (x – 2)    

 

                                                                                                         

 

 

SIMILAR QUESTIONS

Q1

The straight lines x + y = 0, 3x + y – 4 = 0, x + 3y – 4 = 0 form a triangle which is

Q2

If sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is

Q3

If the circumcentre of a triangle lies at the origin and centroid is the middle point of the line joining the points (a2 + 1, a2 + 1) and (2a, –2a), then the orthocenter lies on the line.

Q4

If abc are unequal and different from 1 such that the points  are collinear, then  

Q5

If two vertices of a triangle are (–2, 3) and (5, –1), orthocentre lies at the origin and centroid on the line x + y = 7, then the third vertex lies at

Q6

The line L has intercepts a and b on the coordinate axes. The coordinate axes are rotated through a fixed angle, keeping the origin fixed. If p andq are the intercepts of the line L on the new axes, then 

                                                          

Q7

If P is a point (xy) on the line, y = –3x such that P and the point (3, 4) are on the opposite sides of the line 3x – 4y = 8, then   

 

Q8

The area enclosed by 2|x| + 3|y≤ 6 is

Q9

Let O be the origin, A (1, 0) and B (0, 1) and P (xy) are points such thatxy > 0 and x + y < 1, then

Q10

An equation of a line through the point (1, 2) whose distance from the point (3, 1) has the greatest value is