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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-KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD (MODEL QUESTION PAPER)-QUESTION
  1. The Coordinates of origin are :

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  2. If the discriminant of quadratic equation b^(2)-4 ac = 0, then roots ...

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  3. State "Basic proportionality theorem"

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  4. State Euclid's division lemma.

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  5. Find the distance between the point p(3,4) and the origin.

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  6. (i) Expreess each as a product of its prime factors: 140 (ii) Ex...

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  7. How many two digit numbers are divisible by 3?

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  8. Let DeltaABC~DeltaDEF and their areas be , respectively , 64 cm^(2) a...

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  9. Solve for x and y 2x + y = 6 and 2x - y = 2

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  10. Five years age, Gouri was thrice as old as Ganesh . Ten Years later Go...

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  11. Find the area of the shaded region in the figur, where ABCD is a squar...

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  12. Draw a pair of tangents to a circle of radius 5 cm which are inclined ...

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  13. Find the value of K if the points A(2, 3) B(4, k) and C(6, -3) are col...

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  14. Prove 3 + sqrt(5) is irrational.

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  15. Find the zeroes of polynomial p(x) = 6x^(2) -3 - 7x

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  16. Find a quadratic polynominal each with the given numbers as the sum an...

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  17. Solve the equation 3x^(2) - 5x+ 2 = 0 by using the formula

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  18. 2 tan ^ 2 45 ^@ + cos ^ 2 30 ^@ - sin ^ 2 60 ^@ = ?

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  19. The angle of elevation of the top of a tower from a point on the groud...

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  20. As observed from the top of a 100 m high light house from the sea leve...

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