UPSC CDS/OTA
Geometry
Mathematics
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Geometry

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Questions
30
Time
30 min
Marks
30
Solutions
All inline
Q1Consider the following statements: (I) If G is the centroid of ΔABC, then GA = GB = G(c) (II) If H is the orthocentre of ΔABC, then HA = HB = H(c) Which of the statements given above is/are correct?MediumSolve →Q2AB is a straight line, C and D are points on the same side of AB such that AC is perpendicular to AB and DB is perpendicular to A(b) Let AD and BC meet at E. What is AE/AD + BE / BC equal to?MediumSolve →Q3The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?MediumSolve →Q4Which one of the following is a Pythagorean triple in which one side differs from the hypotenuse by two units? Where, n is a positive real number.MediumSolve →Q5The sides of a right-angled triangle are equal to three consecutive numbers expressed in centimetres. What can be the area of such a triangle?MediumSolve →Q6If the medians of a triangle are equal, then the triangle is:MediumSolve →Q7The Incenter of a triangle is determined by the'MediumSolve →Q8The circum-centre of a triangle is determined by the:MediumSolve →Q9The point of intersection of the angle bisector of a triangle is:MediumSolve →Q10In ΔABC, AC = 5cm. Calculate the length of AE where DEB(c) Given that AD = 3 cm and BD = 7 cm.MediumSolve →
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