question_answer1) Solve the following quadratic equation for x: \[{{x}^{2}}-2ax-(4{{b}^{2}}-{{a}^{2}})=0\]
View Answer play_arrowquestion_answer2) The 13th term of an AP is four times its 3rd term. If its fifth term is 16, then find the sum of its first ten terms.
View Answer play_arrowquestion_answer3) Find the coordinates of a point P on the line segment joining \[A(1,2)\] and \[B(6,7)\] such that\[AP=\frac{2}{5}AB\].
View Answer play_arrowquestion_answer4) A bag contains white, black and red balls only. A ball is drawn at random from the bag. If the probability of getting a white ball is \[\frac{3}{10}\] and that of a black ball is \[\frac{2}{5}\] then find the probability of getting a red ball. If the bag contains 20 black balls, then find the total number of balls in the bag.
View Answer play_arrowquestion_answer5) A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km per hour more than the first speed. If the truck covers the total distance in 5 hours/ find the first speed of the truck.
View Answer play_arrowquestion_answer6) An arithmetic progression 5, 12, 19...... has 50 terms. Find its last term. Hence find the sum of its last 15 terms.
View Answer play_arrowquestion_answer7) Construct a triangle ABC in which \[AB=5\text{ }cm,\text{ }BC=6\text{ }cm\] and \[\angle ABC=60{}^\circ \]. Now construct another triangle whose sides are \[\frac{5}{7}\] times the corresponding sides of \[\Delta \text{ }ABC\].
View Answer play_arrowquestion_answer8) Find the values of k for which the points \[A(k+1,2k),B(3k,2k+3)\] and \[C(5k-1,5k)\] are collinear.
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