If pairs of the triangles are similar and then find the value of x.

If x=7+4sqrt3 then find the value of x+(1)/(x)

Write down the converse of following statements: If two triangles are similar then the ratio of their corresponding sides are equal.

If 2^(x+1 ) = 3^(1-x) then find the value of x.

Let alpha and beta be roots of the equation X^(2)-2x+A=0 and let gamma and delta be the roots of the equation X^(2)-18x+B=0 . If alpha lt beta lt gamma lt delta are in arithmetic progression then find the valus of A and B.

If x= 5 and y=2 find the values of : (x^(y)+ y^(x) )

If x=sqrt(2)-1 then find the value of ((1)/(x)-x)^(3) :-

Solve the following pair of linear equations graphically: x-y=1, 2x+y=8 Also find the coordinates of the vertices of the triangle formed by the lines and the x-axis.

Solve the following pair of linear equations graphically: x+y=6 and 3x-4y= -3 Also find the coordinates of the vertices of the triangles formed by the lines with the x-axis.

Solve the following pair of linear equations graphically: 3x+4y=24, x-y=1 Also find the coordinates of the vertices of the triangle formed by the lines and the y-axis.

Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 2/3 of the corresponding sides of the first triangle.