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 =

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Question

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

medium

Solution

Correct option is

±1

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

The combine equation of OA and OB is

Lines given by this equation are at right angle.

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SIMILAR QUESTIONS

Q1

The line y = mx bisects the angle between the lines

, if

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Q2

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

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Q3

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

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Q4

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

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Q5

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

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Q6

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

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Q7

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

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Q8

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

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Q9

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

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Q10

The straight lines represented by

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