ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to:
(A) 80º (B) 50º (C) 40º (D) 30º
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is :
(A) 6 cm (B) 8 cm
(C) 10 cm (D) 12 cm
AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the
distance of AB from the centre of the circle is :
(A) 17 cm (B) 15 cm (C) 4 cm (D) 8 cm
If the medians of a ∆ ABC intersect at G, show that ar (AGB) = ar (AGC) = ar (BGC) = 1/3 ar (ABC)
Complete the statement.
Non-renewable resources are
(a) those which have limited stock
(b) made by human beings
(c) derived from non-living things
In ∆ ABC, if L and M are the points on AB and AC, respectively such that LM || BC. Prove that ar (LOB) = ar (MOC)
Which one of the following is a human made resource?
(a) medicines to treat cancer
(b) spring water
(c) tropical forests
ABCD is a trapezium in which AB || DC, DC = 30 cm and AB = 50 cm. If X and Y are, respectively the mid-points of AD and BC,
prove that ar (DCYX) = 7/9 ar (XYBA)
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