Question
ABCD is a cyclic quadrilateral, such that ratio of
measures ∠A, ∠B and ∠C is 1 : 4 : 5, then the measure of ∠D is.Solution
The sum of the opposite angles in cyclic quadrilateral is 180° ∠A = 1x ∠B = 4x ∠C = 5x ∠A + ∠C = 180° 1x + 5x = 180° x = 30° ∠B = 4 × 30° = 120° ∠B + ∠D = 180° 120° + ∠D = 180° ∠D = 60°
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
Which of the following is NOT a known factor to uniquely determine a plane?
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
Find the equation of the circle passing through the points (1, 2) and (2, -1), and whose center lies on the line x - 2y + 3 = 0.
Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?
If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?
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