Higher Certificate and Intermediate Tests in Mathematics |
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Page 72
... points of the circumcircle of ABC . Prove also that , if P , Q are at the ends of a diameter of the circle ABC , the Simson Lines meet on the nine - points circle of ABC . 6. OA , AB , OC are three lines not in one plane . Prove that ...
... points of the circumcircle of ABC . Prove also that , if P , Q are at the ends of a diameter of the circle ABC , the Simson Lines meet on the nine - points circle of ABC . 6. OA , AB , OC are three lines not in one plane . Prove that ...
Page 74
... nine - points circle of the triangle , 4 ( AN2 + BN2 + CN2 ) = R2 ( 118 cos A cos B cos C ) . 5. If A , P , B are three fixed points in order on a straight line , prove that the locus of points at which AP , PB subtend equal angles is a ...
... nine - points circle of the triangle , 4 ( AN2 + BN2 + CN2 ) = R2 ( 118 cos A cos B cos C ) . 5. If A , P , B are three fixed points in order on a straight line , prove that the locus of points at which AP , PB subtend equal angles is a ...
Common terms and phrases
ABCD ascending powers ax² axes axis bisects C₁ centre chord PQ circle x² circumcircle constant cos² cos³ cuts deduce diameter differential coefficient distance Draw the graph drawn ellipse equal expansion expression Find the area Find the co-ordinates Find the condition Find the equation Find the ratio find the values fixed point focal chord formula geometrical progression given Hence find horizontal inscribed circle intersection latus rectum line 3x line joining loge maximum value mid-points middle point nine-points circle normal opposite edges orthocentre parabola y² parallel perpendicular Prove radical axis radius respectively rhombus right angles right circular cone roots sides BC Simson Lines sin² sin³ Sketch the curve solid of revolution sphere straight line subtends tangent tetrahedron touch triangle ABC vertex vertices volume x-axis x₁ y₁ y²/b²