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Practice Test 8
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SSC CGL Coordinate Geometry Practice Test 8

15 SSC CGL coordinate geometry questions with chapter-wise explanations and exam-style options.

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SSC CGL Practice Session

SSC CGL Coordinate Geometry Practice Test 8

15 SSC CGL coordinate geometry questions with chapter-wise explanations and exam-style options.

Questions
15
Marking
+2 correct, -0.5 wrong
Format
15-question ad-supported session
Preview all 15 questions in SSC CGL Coordinate Geometry Practice Test 8 (no login required)
  1. Coordinate Geometry

    1. Two similar triangles have sides 6 and 10. Ratio of their areas:

    • A. 6:10
    • B. 18:50
    • C. 9:25 (Correct)
    • D. 36:100

    Explanation: Ratio of areas = (6/10)² = 36/100 = 9:25.

  2. Coordinate Geometry

    2. A tangent from external point P to circle of radius 5 cm. Distance of P from centre is 13 cm. Tangent length:

    • A. 10 cm
    • B. 11 cm
    • C. 12 cm (Correct)
    • D. 13 cm

    Explanation: Tangent=√(13²−5²)=√(169−25)=√144=12 cm.

  3. Coordinate Geometry

    3. In a trapezium, parallel sides are 8 cm and 12 cm. Height is 6 cm. Area:

    • A. 54 sq cm
    • B. 58 sq cm
    • C. 60 sq cm (Correct)
    • D. 66 sq cm

    Explanation: Area=1/2×(8+12)×6=60 sq cm.

  4. Coordinate Geometry

    4. In triangle ABC, angle bisector from A meets BC at D. If AB=6, AC=9, BC=10, find BD.

    • A. 3 cm
    • B. 4 cm (Correct)
    • C. 5 cm
    • D. 6 cm

    Explanation: By angle bisector theorem: BD/DC=AB/AC=6/9=2/3. BD=10×2/5=4 cm.

  5. Coordinate Geometry

    5. Vertically opposite angles are always:

    • A. Supplementary
    • B. Complementary
    • C. Equal (Correct)
    • D. Reflex

    Explanation: Vertically opposite angles are always equal.

  6. Coordinate Geometry

    6. Total surface area of a cylinder with r=7 cm and h=10 cm:

    • A. 726 cm²
    • B. 748 cm² (Correct)
    • C. 760 cm²
    • D. 776 cm²

    Explanation: TSA=2πr(r+h)=2×22/7×7×17=748 cm².

  7. Coordinate Geometry

    7. Angle subtended by an arc at centre is 120°. Angle at any point on the major arc:

    • A. 30°
    • B. 40°
    • C. 50°
    • D. 60° (Correct)

    Explanation: Angle at major arc=120°/2=60°.

  8. Coordinate Geometry

    8. In similar triangles, perimeters are 12 and 20. If smallest side of smaller triangle is 3, smallest side of larger is:

    • A. 4
    • B. 5 (Correct)
    • C. 6
    • D. 7

    Explanation: Ratio=12:20=3:5. Smallest side of larger=3×20/12=5.

  9. Coordinate Geometry

    9. Slant height of cone with r=5 and h=12 is:

    • A. 11 cm
    • B. 12 cm
    • C. 13 cm (Correct)
    • D. 14 cm

    Explanation: l=√(r²+h²)=√(25+144)=13 cm.

  10. Coordinate Geometry

    10. Pythagoras theorem applies to:

    • A. All triangles
    • B. Acute triangles
    • C. Right triangles (Correct)
    • D. Obtuse triangles

    Explanation: Pythagorean relation holds only for right-angled triangles.

  11. Coordinate Geometry

    11. Diagonals of a rhombus are 24 cm and 10 cm. Side of rhombus:

    • A. 11 cm
    • B. 12 cm
    • C. 13 cm (Correct)
    • D. 14 cm

    Explanation: Side=√(12²+5²)=√169=13 cm.

  12. Coordinate Geometry

    12. In a cyclic quadrilateral, opposite angles sum to:

    • A. 90°
    • B. 120°
    • C. 180° (Correct)
    • D. 360°

    Explanation: Opposite angles of a cyclic quadrilateral are supplementary.

  13. Coordinate Geometry

    13. Curved surface area of hemisphere of radius 14 cm:

    • A. 1144 cm²
    • B. 1232 cm² (Correct)
    • C. 1344 cm²
    • D. 1432 cm²

    Explanation: CSA=2πr²=2×22/7×196=1232 cm².

  14. Coordinate Geometry

    14. Two tangents from external point make angle 60° between them. Angle subtended at centre by chord joining tangent points:

    • A. 100°
    • B. 110°
    • C. 120° (Correct)
    • D. 130°

    Explanation: Angle at centre = 180°−60°=120°.

  15. Coordinate Geometry

    15. In a 45-45-90 triangle, hypotenuse is 10 cm. Legs are:

    • A. 5 cm each
    • B. 5√2 cm each (Correct)
    • C. 7 cm each
    • D. 8 cm each

    Explanation: Leg=hyp/√2=10/√2=5√2 cm.