Question
John has finished planting 1/4 th of the area
of rectangular garden which is 12ft wide. When he finishes planting another 90 sq. ft of the garden, he would have finished 2/5th of the area. What is the length of the garden?Solution
Let the area of the garden be ‘x’ sq. ft, then the difference between 2/5 and 1/4 of the area is 90 sq. ft, ⇒ (2/5- 1/4) × x = 96 ⇒ 3/20 x = 90 sq. ft ⇒ x = (90 × 20)/3 = 600 ∴ Length = Area/Width = 600/12 = 50 ft.
In a ∆ ABC, the bisectors of ∠ B and ∠ C meet at O. If ∠ BOC = 142°, then the measure of ∠ A is
Find the direction cosines of the plane 2x – 3y + 4z – 6 = 0 from the origin.
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 ...
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:
For what value of do the simultaneous equations 2x+3y=1, 4x+6y = λ have infinite solutions?
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 equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.
