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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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I am doing this question of mensuration which is very important for class 10 cbse board exam. In this question ...Read more

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## n the figure, BDC is a tangent to the given circle at point D such that BD = 30 to the circle and meet when produced at A making BAC a right angle triangle. Calculate (i) AF (ii) radius of the circle.

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a bit typical question, provide an easy solution to it, how should i approach???

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## PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents P and Q intersect at a point T. Find the length TP.

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This is a very Important NCERT Maths question Circles chapter 10 example 3, well I have solved the complete exercises ...Read more