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## Speed of a boat in still water is 15 km/h. It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream.

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important 5 mark board question

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## Find the values of k for which the pair of linear equations kx + 3y = k-2 and 12x + ky = k has no solution.

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it is important board question

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## Solve graphically the system of linear equations 4x-5y +16=0 and 2x+y-6 = 0. Determine the vertices of the triangle formed by these lines and the x-axis.

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I cant make the graph for this. please show steps to make graph its important 3 mark question for boards

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## If the remainder on division of x3 + 2×2 + kx +3 by x – 3 is 21, find the quotient and the value of k. Hence, find the zeroes of the cubic polynomial x3 + 2×2 + kx – 18.

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This question is very tricky. its an important 5 mark question for boards exam

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## Given that x – √5 is a factor of the polynomial x3 – 3√5×2 – 5x + 15√5, find all the zeroes of the polynomial.

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This question came in 2019 class 10 boards. i cannot solve it for some time please help.

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## What should be subtracted from the polynomial of p(x)= x²-3ax + 3a- 7 so that, (x + 2) is a factor of the polynomial p(x) and hence also find the value of a

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this question is very important from class 10 boards perspective. kindly help with this

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## If the product of the zeros of the polynomial (ax²- 6x- 6 ) is 4, find the value of a.

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this question came in 2018 boards exam CBSE. please give answer for this

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## Three measuring rods are 64 cm, 80 cm and 96 cm in length. Find the least length of cloth that can be measured an exact number of times, using any of the rods.

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This question from class 10 real numbers is very important. I have been trying to solve it since last night but ...Read more

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## Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.

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This important question is from claass 10, chapter-1,real numbers but i can’t solve it since last night