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In `triangleABC, angleB=90^(@)`, P,Q and R are the mid-points of `bar(AB), bar(BC)` and `bar(AC)` respectively. Then which of the following is true?A. A,P,Q and R are concylic points.B. B,P,R and Q are concylic points.C. C,Q,P and R are concyclic points.D. All of these |
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Answer» Correct Answer - B i) Draw the figure and mark the points P,Q and R on sides AB, BC and AC respectively. ii) Angle B`=90^(@)` and `anglePRQ` is formed by lines PR and RQ, which are parallel to lines BC and AB (mid-point theorem). iii) Since BC and AB are perpendicular, PR and RQ are also perpendicular , i.e., `anglePRQ=90^(@)`. iv) Quadrilateral joining BPRQ is a cyclic quadrilateral. |
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