1. Fach of the circles of equal radii with centres A and B pass through the centre of one another circle they cut at C and D then ∠DBC is equal to





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  • By: anil on 05 May 2019 01.55 am
    Since the circles pass through the centre of each other, the distance between their centres will be equal to the radius of the circle. Distance between the midpoint of line joining centres and centres = r/2.
    Connecting the points of intersection and midpoint of the radii, we get a right angled triangle.
    Cos A = (r/2)/(r) = 1/2
    => A = 60 degrees.
    ∠DBC = 2* angle A = 2*60 = 120 degrees.
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MCQ-> The story begins as the European pioneers crossed the Alleghenies and started to settle in the Midwest. The land they found was covered with forests. With incredible efforts they felled the trees, pulled the stumps and planted their crops in the rich, loamy soil. When they finally reached the western edge of the place we now call Indiana, the forest stopped and ahead lay a thousand miles of the great grass prairie. The Europeans were puzzled by this new environment. Some even called it the “Great Desert”. It seemed untillable. The earth was often very wet and it was covered with centuries of tangled and matted grasses. With their cast iron plows, the settlers found that the prairie sod could not be cut and the wet earth stuck to their plowshares. Even a team of the best oxen bogged down after a few years of tugging. The iron plow was a useless tool to farm the prairie soil. The pioneers were stymied for nearly two decades. 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