Dear students, you know how important Advance Math is a for IB and SSC related exams. Learn every theorem of geometry, different trigonometric ratios and formulas of different polygons & 3D mensuration before you sit for the main exam. We cant learn everything in a day, so practice different question, For that, we are providing 15 questions on Geometry. Solve all these quizzes every day so that you can improve your accuracy and speed.
Q1. ABC is a triangle and P is any point on AB such that ∠ACP = ∠ABC, if AC = 9 cm, CP = 12 cm and BC = 15 cm, then AP is equal to?
(a) 4.5 cm
(b) 7.2 cm
(c) 9.7 cm
(d) 10.1 cm
Q2. The lengths of perpendiculars drawn from any point in the interior of an equilateral triangle with the respective sides are 6cm, 8cm, and 10cm. The length of each side of the triangle is?
(a) 20 cm
(b) 21 cm
(c) 16√3 cm
(d) 23 cm
Q3. In a right angled ∆ABC, ∠ABC = 90°; BN ⊥ AC, AB = 6 cm, AC = 10 cm. Then AN : NC is?
(a) 9 : 16
(b) 6 : 13
(c) 14 :19
(d) 20 : 21
Q4. In a ∆ABC a line DE is drawn parallel to BC. If AD/DB=2/3 then find the ratio of area of ∆ADE & Area of DECB ?
(a) 4 : 21
(b) 21 : 3
(c) 21 : 25
(d) 4 : 19
Q5. In a ∆ ABC, D is the midpoint of line BC and E is the midpoint of AD. Then find the ratio of the area of ∆ BEA and ∆ ABC ?
(a) 7 : 1
(b) 6 : 1
(c) 5 : 1
(d) 1 : 4
Q6. In a ∆ ABC, BD and CE are two medians which intersects each other at ‘O’. AO intersect the line ED at M. Find the ratio of AM : MO?
(a) 3 : 1
(b) 1 : 5
(c) 3 : 8
(d) 5 : 8
Q7. I is the incentre of a triangle ABC. If ∠ACB = 55°, ∠ABC = 65° then the value of ∠BIC is?
(a) 130
(b) 150
(c) 120
(d) 110
Q8. In ∆ ABC, ∠B = 60° and ∠C = 40°. If AD and AE be respectively the internal bisector of ∠A and perpendicular on BC, then the measure of ∠DAE is ?
(a) 50
(b) 10
(c) 30
(d) 40
Q9. The angle between the external bisectors of two angles of a triangle is 60°. Then the third angle of the triangle is ?
(a) 60
(b) 70
(c) 80
(d) 90
Q10. AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is ?
(a) 9 cm
(b) 6 cm
(c) 2 cm
(d) 5 cm
Q11. In a ∆ ABC, BD & CE are the two medians which intersect each other at right angle. AB = 22, AC = 19, find BC ?
(a) 11 cm
(b) 12 cm
(c) 14 cm
(d) 13 cm
Q12. In ∆ ABC, AD, BE and CF are the altitudes in the ratio 1 : 2 : 3 respectively, then the ratio of AB : BC : CA is ?
(a) 3 : 2 : 1
(b) 1 : 2 : 3
(c) 1 : 4 : 9
(d) 2 : 6 : 3
Q13. In ∆ ABC, draw BE ⊥ AC and CF ⊥ AB and the perpendicular BE and CF intersect at the point O. If ∠BAC = 70°, then the value of ∠BOC is ?
(a) 115
(b) 110
(c) 120
(d) 135
Q14. Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of the four given responses is ?
(a) AX = BY = CZ
(b) AX ≠ BY ≠ CZ
(c) AX = BY ≠ CZ
(d) None of these
Q15. In the given figure, AD is the Internal bisector of ∠A, If BD = 4 cm, DC = 3 cm and AB = 6 cm, find AC ?
(a) 4.5 cm
(b) 6.5 cm
(c) 7.5 cm
(d) 8.5 cm
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