It is given that `angleXYZ= 64^(@)` and XY is produced to point P. A ray YQ bisects `angleZYP`. Draw a figure from the given information. Find `angleXYQ` and reflex `angleQYP`.

It is given that angleXYZ = 64^@ and XY is produced to point P. A ray YQ bisects angleZYP . Draw a figure from the given in formation. Find angleXYQ and reflex angleQYP .

How many rays can we draw from a given point

In the given figure sides QP and RQ of ΔPQR are produced to points S and T respectively. If angleSPR = 135^(@) and anglePQT = 110^(@) , find anglePRQ.

From the top of a tower of h m height, Anusha observes the anges of depression of two points X and Y on the same side of tower on the ground to be alpha" and "beta . Draw the suitable figure for the given information.

In the given figure, the point P bisects AB and DC. Prove that DeltaAPC ~= DeltaBPD

In the given figure, the point P bisects AB and DC. Prove that triangleAPC~=triangleBPD

The common point of the tangent and the circle is called the point of contact and the tangents is said to touch the circle at the common point. Observe the tangents to the circle in the figures given below. How many tangents can you obtain to the circle.in all?See the points of contact. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents.

In the below given figure P and Q are points on the sides AB and AC respectively of triangle ABC such that AQ = 3cm, QC= 5cm and PQ ||BC . Find the ratio of areas traingle APQ and triangle ABC .