Question 1 :
The area of a right angle triangle is$$ \displaystyle 20cm ^{2} $$ and one of the sides containing the right triangle is 4 cm Then the altitude on the hypotenuse is
Question 2 :
If the radius of a circle increased by 20% then the corresponding increase in the area of circle is ................
Question 3 :
Let $$l > 0$$ be a real number, $$C$$ denote a circle with circumference $$l$$, and $$T$$ denote a triangle with perimeter $$l$$. Then
Question 4 :
Find the area of a triangle ABC whose vertices are A(-2 ,2) B(5 ,2) and whose centroid is (1 , 3)
Question 5 :
In a right triangle the square of the hypotenuse is equal to twice the product of the legs. One of the acute angles of the triangle is:
Question 6 :
In the $$\triangle LMN$$ <b></b>$$\displaystyle $$, angle L is $$\displaystyle { 65 }^{ o }$$ $$\displaystyle $$, angle M is a right angle, what would be angle N?
Question 7 :
The ratio between the circumference of a circumcircle of an equilateral triangle and the perimeter of that equilateral triangle is
Question 8 :
A triangle has side lengths of $$6$$ inches and $$9$$ inches. If the third side is an integer, calculate the minimum possible perimeter of the triangle (in inches).
Question 9 :
If the points $$( 0,0 ) , ( 3 , \sqrt { 3 } ) , ( p , q )$$ form an equilateral triangle and $$q _ { 1 } , q _ { 2 }$$ are the twovalues of $$q$$ then $$q _ { 1 } + q _ { 2 } =?$$
Question 12 :
 Substitute $$x=3$$ and find the value of the given expression<br/>$$x^2 + 5x$$ 
Question 14 :
Simplify $$a (a^2 + a + 1) + 5 $$ and find its value for $$a=1$$.<br/>
Question 15 :
A value of x satisfying the equation $$x^2 + b^2 = (a-x)^2$$ is:
Question 20 :
Mark the correct alternative of the following.<br>If the measures of the angles of a triangle are $$(2x)^o, (3x-5)^o$$ and $$(4x-13)^o$$. Then the value of x is?<br>
Question 21 :
Find the measure of an angle which is one-fifth of its supplement.<br/>
Question 22 :
Consider the lines $$\frac{x}{2} = frac{y}{3} = frac{z}{5}$$ and $$\frac{x}{1} = frac{y}{2} = frac{z}{3}$$, then the equation of the line which