Loci and concurrency Questions and answers

  1. Elementary Mathematics
    1. Quadratic Equations
    2. Simplification
    3. Area and perimeter
    4. Volume and surface area
    5. Geometry
    6. Trigonometry
    7. Polynomials
    8. Height and Distance
    9. Simple and Decimal fraction
    10. Indices and Surd
    11. Logarithms
    12. Trigonometric ratio
    13. Straight lines
    14. Triangle
    15. Circles
    16. Quadrilateral and parallelogram
    17. Loci and concurrency
    18. Statistics
    19. Rectangular and Cartesian products
    20. Rational expression
    21. Set theory
    22. Factorisation
    23. LCM and HCF
    24. Clocks
    25. Real Analysis
31). In the given figure, CD is parallel to AB. The angle y is equal to
A). \( \Large 40 ^{\circ} \)
B). \( \Large 60 ^{\circ} \)
C). \( \Large 80 ^{\circ} \)
D). \( \Large 100 ^{\circ} \)
32). Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the larger angle is
A). \( \Large 72 ^{\circ} \)
B). \( \Large 108 ^{\circ} \)
C). \( \Large 36 ^{\circ} \)
D). \( \Large 54 ^{\circ} \)
33). In the following figure if \( \Large \angle BOC \) = \( \Large 7x ^{\circ} + 20 ^{\circ} \) and \( \Large \angle COA \) = \( \Large 3x ^{\circ} \), then value of x for which \( \Large \angle AOB \) becomes a straight line is
A). \( \Large 16 ^{\circ} \)
B). \( \Large 14 ^{\circ} \)
C). \( \Large 20 ^{\circ} \)
D). \( \Large 21 ^{\circ} \)
34). An arc of \( \Large 60 ^{\circ} \) in one circle is double the arc in a second circle whose radius is three times that of the first circle. What is the degree measure of the arc of the second circle?
A). \( \Large 30 ^{\circ} \)
B). \( \Large 20 ^{\circ} \)
C). \( \Large 10 ^{\circ} \)
D). \( \Large 1 ^{\circ} \)
35). O is the centre of a circle having radius 13 units . PQ is a chord of the circle. OR is perpendicular from O upon chord PQ. If length of the chord is 10 units, then what is the length of OR ?
A). 12 units
B). 69 units
C). 10 units
D). 3 units


36). If total length of diagonals of a cube is 12 cm, what is the total length of edges of the cube?
A). 15 cm
B). 12 cm
C). \( \Large 6\sqrt{3}cm \)
D). \( \Large 12\sqrt{3}cm \)
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