Geometry Practice Question and Answer
8 Q: In △PQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of RQ2/(QS2+ RT2)?
591 064d1f0a8a798377447183d9e
64d1f0a8a798377447183d9e- 1$$3\over 4$$false
- 2$$4\over 5$$true
- 3$$1\over 2$$false
- 4$$2\over 3$$false
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Answer : 2. "$$4\over 5$$"
Q: In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:
505 064d20f95d02c5c746bd1ad7a
64d20f95d02c5c746bd1ad7a- 121°true
- 228°false
- 324°false
- 422°false
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Answer : 1. "21°"
Q: In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?
460 064d20eadd02c5c746bd1acc4
64d20eadd02c5c746bd1acc4- 175°false
- 281°false
- 384°false
- 478°true
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Answer : 4. "78°"
Q: A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:
510 064d20497e0ce55749682da9e
64d20497e0ce55749682da9e- 1$$ 2\sqrt {3} \ $$ cmfalse
- 2$$ \sqrt {19} \ $$ cmtrue
- 3$$ \sqrt {17} \ $$ cmfalse
- 4$$ 3\sqrt {3} \ $$ cmfalse
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Answer : 2. " $$ \sqrt {19} \ $$ cm"
Q: In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?
426 064d1f224ebd5c374726d26ac
64d1f224ebd5c374726d26ac- 149 : 13false
- 213 : 36false
- 313 : 49false
- 436 : 13true
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Answer : 4. "36 : 13"
Q: In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is:
492 064d1f15ed02c5c746bd1326d
64d1f15ed02c5c746bd1326d- 1true
630
- 2false
560
- 3false
540
- 4false
720
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Answer : 1. "630
"
Q: In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If ∠AOD=32° and <COB = 26°, then the measure of ∠APD lies between:
506 064d1ef0b80ef1e74b4c96cef
64d1ef0b80ef1e74b4c96cef- 1false
1800 and 220
- 2true
260 and 300
- 3false
300 and 340
- 4false
220 and 260
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Answer : 2. "260 and 300
"
Q: In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is:
439 064c8d763a919c8488e228ff0
64c8d763a919c8488e228ff0- 111.6false
- 210.8false
- 313.4false
- 412.7true
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