Exams › JEE Main › Maths

Given the points P = (-1, 0), Q = (0, 0), and R = (3, 3√(3)), find the equation of the angle bisector of ∠PQR.

1. (√(3))/(2)x + y = 0
2. x + √(3)y = 0
3. √(3)x + y = 0
4. x + (√(3))/(2)y = 0

Correct answer: √(3)x + y = 0

Solution

The correct option represents the line that bisects the angle formed by the lines connecting points P and Q, and Q and R. By calculating the slopes of these lines and finding the angle bisector, we determine that the equation √(3)x + y = 0 correctly describes this bisector.

Related JEE Main Maths questions

• Consider the following statements: Statement 1: The greatest possible number of intersection points formed by 8 circles of the same radius is 56. Statement 2: The greatest possible number of points of intersection obtained when 4 circles of different radii and 4 distinct straight lines are drawn is 50.
• Find the length of the segment from the point (1, 2) to the line x + y + 5 = 0, if the measurement is taken along a line parallel to 3x − y = 7.
• Let p1 and p2 denote the perpendicular distances from the origin to the lines x cos θ + y sin θ = 2a cos 4θ and x sec θ + y cosec θ = 4a cos 2θ, respectively. If mp1² + np2² = 4a², then which of the following is true?
• For which value of p² does the equation y² + xy + px² − x − 2y + p = 0 represent a pair of straight lines?
• An equilateral triangle has one vertex at (2, 3). If the side opposite to this vertex lies on the line x + y = 2, then the equations of the other two sides are
• Which points on the line x + y = 4 are exactly one unit away from the line 4x + 3y = 10?

⚔️ Practice JEE Main Maths free + battle 1v1 →