Circle Theorems
The sum of the two opposite angles of a quadrilateral inscribed in a circle is two right angles.
The sum of the two opposite angles of a quadrilateral inscribed in a circle is two ri…
Circle Theorems
If two angles of a quadrilateral are supplementary, the four vertices are concyclic.
If two angles of a quadrilateral are supplementary, the four vertices are concyclic.�…
Circle Theorems
Prove that the angle inscribed in a semi circle is a right angle.
Prove that the angle inscribed in a semi circle is a right angle.
Circle Theorems
A chord AB one of the two concentric circles intersects the other circle at points C and D . Prove that , AC= BD.
A chord AB one of the two concentric circles intersects the other circle at points C …
Circle Theorems
A circle passes through the vertices of a right angled triangle. Show that the centre of the circle is the middle point of the hypotenuse.
A circle passes through the vertices of a right angled triangle. Show that the centre…
Circle Theorems
Two chords AB and AC of a circle subtend equal angles with the radius passing through A. Prove that AB = AC.
Two chords AB and AC of a circle subtend equal angles with the radius passing through …
Circle Theorems
Prove that the straight line joining the middle points of two parallel chords of a circle passes through the center and is perpendicular to the chords
Prove that the straight line joining the middle points of two parallel chords of a cir…
Mixture or Alligation
A merchant has 1000 kg of sugar , part of which he sells at 8% profit and the rest at 18% profit. He gains 14 % on the whole. The quantity sold at 18% profit is..
A merchant has 1000 kg of sugar , part of which he sells at 8% profit and the rest at…
Mixture or Alligation
One quality of wheat at Tk. 9.30 per kg is mixed with another quality at a certain rate in the ratio of 8:7. If the mixture so formed be worth Tk. 10 per kg, what is the rate per kg of tge second quality of wheat?
One quality of wheat at Tk. 9.30 per kg is mixed with another quality at a certain ra…
Mixture or Alligation
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should be mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3:5?
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The…
Mixture or Alligation
Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing sprit and water in the ratio 8:5?
Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectiv…
Mixture or Alligation
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25% . The percentage of water in the mixture is ......
A dishonest milkman professes to sell his milk at cost price but he mixes it with wat…
Mixture or Alligation
How many kilograms of sugar costing Tk. 9 per kg must be mixed with 27 kg of sugar costing Tk. 7 per kg so that there may be a gain of 10% by selling the mixture at Tk 9.24 per kg?
How many kilograms of sugar costing Tk. 9 per kg must be mixed with 27 kg of sugar co…
