important question of basic math in 10 class
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Answer:
Q1. Find the length of the tangent from a point M which is at a distance of 17 cm from the centre O of the circle of radius 8 cm.
Q2. If the common difference of an A.P. is 3, then find a20 – a15.
Q3. Solve the following system of linear equations by substitution method:
2x – y = 2
x + 3y =15
Q4. From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semi-circular portion with BC as diameter is cut off. Find the area of remining paper (use π = 22/7).
Q5. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms of the AP.
Q6. The taxi charges in a city comprise of a fixed charge together with the charges for the distance covered. For a journey of 10 km the charge paid is Rs. 75 and for a journey of 15 km the charge paid is Rs. 110. What will a person have to pay for travelling a distance of 25 km?
Q7. A motor boat whose speed is 24 km/hr in still water takes 1 hr more to go 32km upstream than to return downstream to the same spot. Find the speed of the stream.
Q8. The first and the last terms of an AP are 10 and 361 respectively. If its common difference is 9 then find the number of terms and their total sum?
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