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State "Basic proportionality theorem"...

State "Basic proportionality theorem"

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State and prove Basic proportionality theorem

Study the following figure. Write the ratios in relation to basic proportionality theorem and its corollarise, in terms of a, b, c and d.

State and prove Bionomial theorem for any positive integer n.

State and prove pythagoras theorem .

If the diagonals of a quadrilateral divide each other proportionally, then prove that the quadrilateral is a trapezium.

If a straight line divdes two sides of a triangle proportionally, then the straight line a parallel to third sides, (Converse of Thales theorem). Prove.

OSWAAL PUBLICATION-SOLVED PAPER SSLC KARNATAKA JUNE 2020 -Answer the following questions
  1. Find the value of tan 45°+ cot 45°

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  2. Find the coordinates of the mid-point of the line joining the points (...

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  3. State "Basic proportionality theorem"

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  4. In the figure AB and AC are the two tangents drawn from the point A to...

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  5. Write, (x+1)/2 = (1/x) in the standard from of a quadratic eqation.

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  6. Write the formula to find the total surface area of the cone whose rad...

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  7. Solve: 2x+y = 11 x+y = 8

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  8. Find the Sum of 5+8+11+....to 10 terms using formula.

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  9. Find the value of k, if the pair of linear equations 2x-3y=8 and 2(k-4...

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  10. Find the discriminant of the equation 2x^2-5x+3=0 and hence write the ...

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  11. If one root of the polynomial p(x) =x^2-6x+k is twice the other then ...

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  12. Find the polynomial of least degree that should be subtracted from p(x...

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  13. Find the distance between the points (-5,7) and (-1,3).

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  14. Find the coordinates of the point which divides the line joining the p...

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  15. The points A(1,1),B(3,2) and C(5,3) cannot be the vertices of the tria...

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  16. Draw a pair of tangents to a circle of radius 3 cm which are inclined ...

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  17. Prove that sqrt(5) is an irrational number.

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  18. Find the HCF of 24 and 40 by using Euclids division algorithm. Hence f...

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  19. To save fuel , to avoid air pollution and for good health two persons ...

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  20. If x=ptantheta+ qsectheta and y=psectheta+qtantheta the prove that x^2...

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