Question
In a ∆ ABC, the bisectors of ∠ B and ∠ C meet
at O. If ∠ BOC = 142°, then the measure of ∠ A isSolution
Let, ∠B = x and ∠C = y OB and OC are two angle bisectors and meets at O. In ΔBCO, (x/2) + (y/2) + 142° = 180° ⇒ (x/2) + (y/2) = 38° ⇒ x + y = 76° In ΔABC, ∠B + ∠C = 76° ∠A = 180° – 76° ⇒ ∠A = 104° ∴ The measure of ∠A is 104°.
Given the sides of a triangle as 3.4 cm and 5.2 cm, what can be the length of the third side (x) in cm?
Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.
Tangents AB and AC are drawn to a circle from a point A, such that BAC = 400. A chord CP is drawn parallel to BA. The measure of ∠ CBP is...
PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such ∠APB = 128°, then ∠OAB ...
Find the distance between the points P (2, -1, 3) and Q (-5, 2, 1)?
Find the direction cosines of the plane 2x – 3y + 4z – 6 = 0 from the origin.
The sides AB and AC of ∆ ABC are produced to points D and E, respectively. The bisectors of ∠ CBD and ∠ BCE meet at P If A = 720 then ...
If f(0) = 3, f(1) = 5, f(3) = 21, then the unique polynomial of degree 2 or less using Newton divided difference interpolation will be:
Relevant for Exams:
