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In Which Qudrant Does Point A(-3, 2) Lie? on Which Axis Does Point B(12, 0) Lie? - Geometry Mathematics 2

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प्रश्न

In which qudrant does point A(-3, 2) lie?
On which axis does point B(12, 0) lie?

उत्तर

Point A(-3, 2) is in second quadrant and point B(12, 0) is on X- axis.

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2018-2019 (March) Balbharati Model Question Paper Set 3

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Two circles of radii 5 cm and 3 cm are concentric. Calculate the length of a chord of the outer circle which touches the inner.


In the given figure, two circles touch each other externally at point P. AB is the direct common tangent of these circles. Prove that :

  1. tangent at point P bisects AB,
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In the given figure, two circles touch each other externally at point P. AB is the direct common tangent of these circles. Prove that: 

(ii) angles APB = 90°

 


Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that ∠CPA = ∠DPB.


Two circles intersect at P and Q. Through P, a straight line APB is drawn to meet the circles in A and B. Through Q, a straight line is drawn to meet the circles at C and D. Prove that AC is parallel to BD.


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Given that AB = 8 cm, calculate PQ.


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Two circles intersect each other at points C and D. Their common tangent AB touches the circles at point A and B. Prove that :
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Two circles with centres O and P intersect each other at A and B as shown in following fig. Two straight lines MAN and RBQ are drawn parallel to OP.
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