16) If the equation (1+m2)x2+2mcx+c2-a2=0 has equal roots ,show that c2=a2(1+m2).(HOTS) 17) Solve ; x≠0 , x ≠ -(a+b)(HOTS) 18)Solve for x ………..(HOTS) 19) One –fourth of a herd of camels was seen in the forest .Twice the square root of the herd had gone to the mountains and the remaining 15 camels were seen on the bank of a river .Find the total number of camels.(HOTS) 20) Two pipes running together can fill a cistern in 3 minutes . If one pipe takes 3 minutes more than the other to fill it,find the time in which each pipe would fill the cistern.(HOTS) 21) If one root of the quadratic equation with real coefficients is , then find the equation.(HOTS) 22) A peacock is sitting on the top of a pillar ,which is 9m high .From a point 27m away from the bottom of the pillar ,a snake is coming to its hole at the base of the pillar .Seeing the snake peacock pounces on it .If their speeds are equal, at what distance from the hole the snake is caught?(HOTS) 23) A dealer sells a toy for Rs.24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.(HOTS) VALUE BASED QUESTIONS 24)While boarding an aeroplane ,a passenger got hurt. The pilot, showing promptness and concern ,made arrangements to hospitalize the injured and so the plane started late by 30 minutes.To reach the destination ,1500 km away, in time,the pilot increased the speed by 100 km/hr.Find the original speed of the plane.Do you appreciate the values shown by the pilot,namely promptness in providing help to the injured and his efforts to reach in time? 25) The sum of the lives of two electric lamps one C.F.L and the other ordinary lamp is 10 years. The product of the lives of these two lamps is 26 years. Is this situation possible? Keeping in mind SAVE ENERGY which lamp should be used? -
16) If the equation (1+m2)x2+2mcx+c2-a2=0 has equal roots ,show that c2=a2(1+m2).(HOTS) 17) Solve ; x≠0 , x ≠ -(a+b)(HOTS) 18)Solve for x ………..(HOTS) 19) One –fourth of a herd of camels was seen in the forest .Twice the square root of the herd had gone to the mountains and the remaining 15 camels were seen on the bank of a river .Find the total number of camels.(HOTS) 20) Two pipes running together can fill a cistern in 3 minutes . If one pipe takes 3 minutes more than the other to fill it,find the time in which each pipe would fill the cistern.(HOTS) 21) If one root of the quadratic equation with real coefficients is , then find the equation.(HOTS) 22) A peacock is sitting on the top of a pillar ,which is 9m high .From a point 27m away from the bottom of the pillar ,a snake is coming to its hole at the base of the pillar .Seeing the snake peacock pounces on it .If their speeds are equal, at what distance from the hole the snake is caught?(HOTS) 23) A dealer sells a toy for Rs.24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.(HOTS) VALUE BASED QUESTIONS 24)While boarding an aeroplane ,a passenger got hurt. The pilot, showing promptness and concern ,made arrangements to hospitalize the injured and so the plane started late by 30 minutes.To reach the destination ,1500 km away, in time,the pilot increased the speed by 100 km/hr.Find the original speed of the plane.Do you appreciate the values shown by the pilot,namely promptness in providing help to the injured and his efforts to reach in time? 25) The sum of the lives of two electric lamps one C.F.L and the other ordinary lamp is 10 years. The product of the lives of these two lamps is 26 years. Is this situation possible? Keeping in mind SAVE ENERGY which lamp should be used? -
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