Question
A was travelling from point X to point Y. He increased
his speed by 16 km/h after every hour. He reached his destination in 18 hours. If his initial speed was 30 km/h, then what was his average speed in the whole journey?Solution
Total distance travelled by A = (18/2) × {2 × 30 + (18 – 1) × 16} = 9 × (60 + 272) = 2988 km Required average speed = 2988/18 = 166 km/h
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 ...
Ina circle with centre O, AD is a diameter and AC is a chord. B is a point on AC, such that OB = 5 cm and ∠ OBA = 600 If ∠ DOC = 60...
Find the distance between the points P (2, -1, 3) and Q (-5, 2, 1)?
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 ...
For what value of do the simultaneous equations 2x+3y=1, 4x+6y = λ have infinite solutions?
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?
In a ∆ ABC, the bisectors of ∠ B and ∠ C meet at O. If ∠ BOC = 142°, then the measure of ∠ A is
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:
Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.
