ABCD is a square. P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP = BQ = CR = DS. Angle SPQ equal to ?

- In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠ QPR = 45
^{0 }, then what is the value (in degrees) of ∠ QOR ? - If the area of ∆ ABC is 33 cm
^{2 }& G is the centroid of ∆ ABC.then the area of the ∆ BGC? - In a right angle triangle, the product of two sides is half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?
- In ∆ABC, AD = DB , DE is parallel to BC, and the area of ∆ABC is 24 cm
^{2}. What is the area of ∆ADE in cm^{2 }? - In the figure P is a point which is 12 cm away from the centre of the circle O. A line drawn from P point cuts circle at point A and B respectively. If PB = 9 cm, AB = 2 cm Then find out the radius of the circle?
- O is the circum centre of the isosceles ∆ ABC. Given that AB = AC = 5 cm and BC = 6 cm. The radius of the circle is
- A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P & Q respectively. If AB =13 cm, then the length of PQ is
- A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X. Y and Z are mid points of the edges of the cube. What is the total surface area (in cm
^{2}) of the pyramid?

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