alleryStart learning →In triangle ABC, a line DE parallel to BC has AD : AB = 2 : 5. Area ADE : area ABC is
- 2 : 3
- 4 : 5
- 2 : 5
- 4 : 25
Show answer and solution
Correct answer: D. 4 : 25
Triangle ADE is similar to ABC with ratio 2:5, so areas are in ratio 4 : 25.
SSC CGL Triangle Center — practice questions — page 3
Explore 93 free Triangle Center questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 61–90 of 93.
In triangle ABC, a line DE parallel to BC has AD : AB = 2 : 5. Area ADE : area ABC isRead the answer and worked solution →DE is parallel to BC. Areas of triangles ADE and ABC are 16 and 64 cm², and AB = 18 cm. Find AD.Read the answer and worked solution →In trapezium ABCD, AB is parallel to CD, AB = 12 and CD = 8. Diagonals meet at O. AO : OC isRead the answer and worked solution →A model car is built 1 : 20 of the real car. The model is 15 cm long. The real car isRead the answer and worked solution →A 5-12-13 triangle is enlarged so its shortest side becomes 15. The longest side isRead the answer and worked solution →A similarity transformation always preservesRead the answer and worked solution →The side of a square is multiplied by 3. Its area becomesRead the answer and worked solution →The radius of a sphere is tripled. Its volume becomesRead the answer and worked solution →Two similar solids have volumes in the ratio 8 : 27. Their surface areas are in the ratioRead the answer and worked solution →Two right triangles are similar if the hypotenuse and one other side areRead the answer and worked solution →Which statement about congruent and similar figures is true?Read the answer and worked solution →A tangent to a circle meets the circle atRead the answer and worked solution →The tangent at a point of a circle makes what relation with the radius to that point?Read the answer and worked solution →A circle has radius 5 cm. A point P is 13 cm from the centre. The tangent length from P isRead the answer and worked solution →P is 10 cm from the centre of a 6 cm radius circle. The tangent from P has lengthRead the answer and worked solution →A tangent of length 24 cm is drawn from P to a circle of radius 7 cm. How far is P from the centre?Read the answer and worked solution →A tangent from a point 17 cm from the centre is 15 cm long. The radius isRead the answer and worked solution →The two tangents from an external point P to a circle are PA and PB. PA = 11 and PB = 2x + 5. Find x.Read the answer and worked solution →Tangents from an external point to a circle are alwaysRead the answer and worked solution →PT is a tangent from P to a circle of centre O. If angle TPO = 30°, angle POT isRead the answer and worked solution →Tangents from P touch a circle at T and S. If angle TPS = 70°, the angle TOS at the centre isRead the answer and worked solution →How many tangents can be drawn to a circle from a point outside it?Read the answer and worked solution →A tangent from P has length 6 cm. A secant from P cuts the circle at A and B with PA = 4 cm. Find PB.Read the answer and worked solution →Chords AB and CD intersect inside a circle at P. AP = 6, PB = 4, CP = 3. Find PD.Read the answer and worked solution →The longest chord of a circle is itsRead the answer and worked solution →What is the length of the longest chord in a circle of radius 9 cm?Read the answer and worked solution →Two chords of one circle are each 8 cm. One is 3 cm from the centre. The other isRead the answer and worked solution →Chords AB and CD are equal and angle AOB = 70°, O being the centre. Angle COD isRead the answer and worked solution →Parallel chords of 6 cm and 8 cm lie on opposite sides of the centre of a 5 cm radius circle. Their distance apart isRead the answer and worked solution →A tangent PT touches a circle at T and chord TM has angle TOM = 100° at centre O. Angle PTM isRead the answer and worked solution →
Worked practice questions
DE is parallel to BC. Areas of triangles ADE and ABC are 16 and 64 cm², and AB = 18 cm. Find AD.
- 6 cm
- 4.5 cm
- 9 cm
- 12 cm
Show answer and solution
Correct answer: C. 9 cm
The area ratio 1:4 gives a side ratio of 1:2, so AD = 18/2 = 9 cm.
In trapezium ABCD, AB is parallel to CD, AB = 12 and CD = 8. Diagonals meet at O. AO : OC is
- 2 : 3
- 3 : 2
- 4 : 3
- 12 : 20
Show answer and solution
Correct answer: B. 3 : 2
Triangles AOB and COD are similar by AA, so AO : OC = AB : CD = 12 : 8 = 3 : 2.
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