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Question Bank : Age Group 1415 : XI1. Find the equation of the straight line joining the point of intersection of 3x  y + 9 = 0 and 3. Find the equation of the line parallel to the Y axis and passing through the point of intersection of 3x  4y  9 = 0 and x  4y  2 = 0. 4. Find the orthocenter of the triangle whose vertices are (2, 1), (1, 4), and (0, 5). 5. Prove that the line segments joining the mid points of the adjacent sides of a rhombus form a rectangle. 6. ABCD is a trapezium with AB  CD. The diagonals AC and BD intersect at E. If Δ AED  Δ BEC, prove that AD = BC. 7. Two circles intersect each other internally at P. If ACP and BDP are the lines meeting the two circles at A, B and C, D respectively, prove that . 8. Show that . 9. If A = 30°, and B = 60°, verify that (i) sin(A + B) = sin A cos B + cos A sin B (ii) cos(A + B) = cos A cos B  sinA sin B. 10. From the top of a building 60 meters high, the angle of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. Find the height of the tower. Character is who you are when no one is looking. #2 20130325 06:21:58
Re: Question Bank : Age Group 1415 : XIHi; Last edited by bobbym (20130325 07:00:48) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20130326 04:45:30
Re: Question Bank : Age Group 1415 : XIWhat is the meaning of ? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #4 20130326 04:53:17
Re: Question Bank : Age Group 1415 : XIMaybe it is supposed to be a sign for congruence? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #5 20130326 04:58:15
Re: Question Bank : Age Group 1415 : XIThen question 6 would be not a question at all. 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #6 20130405 19:49:06
Re: Question Bank : Age Group 1415 : XIHi Agnishom #7 20130405 22:56:52
Re: Question Bank : Age Group 1415 : XI1. How does that make them concyclic? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda 