Vedic Mathematics-III — DU Value Addition Courses Previous Year Question Papers

Answer any two questions from question nos. 2 to 4. Mention the Vedic Mathematics Sutra and Subsutra (upsutra) used to solve the question. (i) Write any two contributions of Aryabhata I. (iii) If the Baudhayana numbers for a right-angled triangle corresponding to  and  are p1, b1, h1 and p2, b2, h2 respectively, then the Baudhayana numbers for the angle ( + ) will be –, –, –. (iv) If sin 3 8 A , sinB = , 5 17 find sin (A – B). (v) Using Pythagoras theorem, find the triple for an angle 45°. find the value of tan 3A. (b) In ABC right-angled at B, if ABC B tan A = 3. (a) Prove that 1 1 1 1 tan tan . 1 1 1 1 tan tan . A man observes the angle of elevation of a tower at a certain point to be 30°. Upon moving 50 meters directly towards the tower, the angle of elevation of the top of the tower becomes 45°. Find the height of the tower. 4. (a) Find the perpendicular distance of a given line 5x + 12y = 13 from the point (2, 3). (b) Find the area of the triangle ABC whose vertices are A(1, 2, 3),