x³ + y³ + z³ – 3xyz = (x+ y + z)/2[(x-y) ² +(y-z) ² +(z-a) ²] = {8.15+9.06+(-17.21)}/2[(x-y) +(y-z) +(z-a)] = (17.21 -17.21)/2[(x-y) +(y-z) +(z-a)] =0[(x-y) +(y-z) +(z-a)] =0
Radius of a circle is 10 cm. Angle made by chord AB at the centre of this circle is 60 degree. What is the length of this chord?
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ ...
The ratio of length and breadth of a rectangular field is 5:9. If the total cost of surrounding it at the rate of Rs 7.50 per meter is Rs 4200, then fin...
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 128˚ , then the measure of angle P is:
Perimeter of a square is equal to the perimeter of a circle that is 792 cm. Find the ratio of the side of the square to the radius of the circle.
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour...
Which one among the following is the smallest?
The cost of fencing a rectangular field at the rate of Rs. 5/metre is Rs. 450. If the length of the field is 11 metres more than its breadth, then find ...
2[sin x – cos x]4 + 6[sin x + cos x]2 + 5[sin6 x + cos6 x]= ?
The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room
