AB, CD, PQ are perpendicular to BD. If AB = x, CD = y and PQ = z
prove that `(1)/(x) + (1)/(y) = (1)/(z) `

If x,y, z are three consecutive terms of a G.P. then prove that (1)/(x+y) + (1)/(y+ z)= (1)/(y) .

In Delta ACB, angle C = 90^(@) and CD bot AB Prove that (BC^(2))/(AC^(2)) = (BD)/(AD) .

If a, b, x, y are positive natural numbers such that (1)/(x) + (1)/(y) = 1 then prove that (a^(x))/(x) + (b^(y))/(y) ge ab .

In the given figure three lines bar(AB) , bar(CD) and bar(EF) intersecting at O. Find the values of x, y and z it is being given that x : y : z = 2 : 3 : 5

In the given figure, /_ACB= 90^(@)" and "CD bot AB . Prove that (BC^2)/(AC^2)=(BD)/(AD) .

ABCD is a rhombus. Prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)= AC^(2)+BD^(2) .

In the adjacent figure AB || CD, CD || EF and y : z = 3 : 7, find x.

In the figure, O is the centre of the circle and AB = CD. OM is perpendicular on bar(AB) and bar(ON) is perpendicular on bar(CD) . Then prove that OM = ON.

Consider the equation of line AB is (x)/(2)=(y)/(-3)=(z)/(6) . Through a point P(1, 2, 5) line PN is drawn perendicular to AB and line PQ is drawn parallel to the plane 3x+4y+5z=0 to meet AB is Q. Then,

If AB and CD are perpendicular diameters of circle Q. and /_QPC = 60^(@) , then the length of PQ divided by, the length of AQ is:-