Question

If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of 45oat the major segment of the circle, then m =

Solution

Correct option is

±1

Since chord AB subtends 45o at P. Therefore, it makes 90o at the centreO.

The combine equation of OA and OB is  

           

Lines given by this equation are at right angle.  

SIMILAR QUESTIONS

Q1

 

The line y = mx bisects the angle between the lines

 , if

Q2

 

If two pairs of straight lines having equations   have one line common then a =

Q3

The point of intersection of the The Pair of Straight Lines given by 

Q4

 

The square of the distance between the origin and the point of intersection of the lines given by  

           

Q5

The centroid of the triangle whose three sides are given by the combined equation  

Q6

If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point

Q7

The angle between the straight lines joining the origin to the points of intersection of  and 3x – 2y = 1 is

Q8

All chords of the curve  which subtend a right angle at the origin always pass through the point

Q9

 

If the pair of lines represented by   intersect on y-axis, then  

Q10

 

The straight lines represented by