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CDS || Mathematics || Geometry || 05-04-2019

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Question 1

A point P moves such that its distances from tow given points A and B are equal. Then what is the locus of the point P?

Question 2

In ∆ABC, ABC=70 º, BCA=40o, O is the point of intersection of the perpendicular bisectors of the sides, then the angle BOC is

Question 3

in ∆ABC, D, E, F are mid-points of AB, BC, CA respectively and ∠B = 90 °, AB = 6 cm, BC =8 cm. Then area of ∆DEF (in sq. cm) is

Question 4

Two circles touch each other externally at a point P and a direct common tangent touches the circles at the points Q and R respectively. Then QPR is

Question 5

In ∆ABC, A is a right angle and AD is perpendicular to BC. If AD = 4 cm, BC = 12 cm, then the value of
(cot B + cot C) is

Question 6

Circumcentre of ∆ABC is O. If BAC = 85o, BCA = 80o, then OAC is

Question 7

If a circle with radius of 10 cm has two parallel chords 16 cm and 12 cm and they are on the same side of the centre of the circle, then the distance between the two parallel chords is

Question 8

In ΔABC, DE || AC. D and E are two Points on AB and CB respectively, If AB = 10 cm and AD = 4 cm. then BE:CE is

Question 9

The sum of three altitudes of a triangle is

Question 10

The straight line 4x+ 3y = 12 passes through:
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