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Suppose chords AB and CD of a circle intersect at a point P inside the circle. Two right-angled triangles A’P’B’ and C’Q’D’ are formed as shown in the figure below such that A’P’ = AP, B’P’ = BP, C’Q’ = CP, D’Q’ = DP and ∠A’P’B’ = 90° = ∠C’Q’D’. Which of the following statements are not correct? 1. A’P’B’ and C’Q’D’ are similar triangles, but need not be congruent 2. A’P’B’ and C’Q’D’ are congruent triangles. 3. A’P’B’ and C’Q’D’ are triangles of same area. 4. A’P’B’ and C’Q’D’ are triangles of same perimeter. Select the correct answer using the code given below.
If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
In the following question, some statements are given followed by four conclusions. You have to take the given statements to be true even if they varies from commonly known facts. Read all the conclusions and decide which of the given conclusions logically follows from the commonly known facts. Statements: All squares are circles. Some rectangles are circles. Some triangles are rectangles. All triangles are hexagons. Conclusions: I. Some triangles are circles. II. Some rectangles are hexagons. III. Some triangles are both rectangles and circles. IV. Some squares are hexagons.
Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Construction of Squares and Triangles mcq question image
Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Construction of Squares and Triangles mcq question image
Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Construction of Squares and Triangles mcq question image
Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Construction of Squares and Triangles mcq question image
Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Construction of Squares and Triangles mcq question image
Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Construction of Squares and Triangles mcq question image