Q1.ABCD is a trapezium in which AB || DC and AB = 2 CD. The diagonals AC and BD meet at O. The ratio of area of triangles AOB and COD is
(a) 1 : 1
(b) 1∶√2
(c) 4 : 1
(d) 1 : 4
Q2.In ∆ABC, D and E are the points of sides AB and BC respectively such that DE || AC and AD : BD =3 : 2. The ratio of area of trapezium ACED to that of ∆BED is
(a) 4 : 15
(b) 15 : 4
(c) 4 : 21
(d) 21 : 4
Q3.Two circles with centres A and B and radius 2 units touch each other externally at ‘C’ A third circle with centre ‘C’ and radius ‘4’ units meets other two at D and E. Then the area of the quadrilateral ABDE is
(a) 2√2 sq. units
(b) 3√3 sq. units
(c) 3√2 sq. units
(d) 2√3 sq. units
Q4.A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC.
(a) 15 cm
(b) 18 cm
(c) 16 cm
(d) 9 cm
Q5.A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is
(a) 42 cm^2
(b) 60 cm^2
(c) 84 cm^2
(d) 96 cm^2
Q6.The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. if the length of one of its diagonal be 26 cm, the length of the other diagonal will be:
(a) 5 cm
(b) 10 cm
(c) 6.5 cm
(d) 26 cm
Q7.The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is :
(a) 80 cm
(b) 72 cm
(c) 68 cm
(d) 64 cm
Q8.C1 and C2 are two concentric circles with centre at O, their radii are 12 cm and 3 cm, respectively, B and C are the point of contact of two tangents drawn to C2 from a point A lying on the circle C1. Then, the area of the quadrilateral ABOC is
(a) (9√15)/2 sq. cm
(b) 12√15 sq. cm
(c) 9√15 sq. cm
(d) 6√15 sq. cm
Q9.The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm^2) of the triangle is
(a) 240
(b) 180
(c) 360
(d) 120
Q10.A circle is inscribed in a square whose length of the diagonal is 12√2 cm. An equilateral triangle is inscribed in that circle. The length of the side of the triangle is
(a) 4√3 cm
(b) 8√3 cm
(c) 6√3 cm
(d) 11√3 cm
Answers:
Q1.ABCD is a trapezium in which AB || DC and AB = 2 CD. The diagonals AC and BD meet at O. The ratio of area of triangles AOB and COD is
(a) 1 : 1
(b) 1∶√2
(c) 4 : 1
(d) 1 : 4
Q2.In ∆ABC, D and E are the points of sides AB and BC respectively such that DE || AC and AD : BD =3 : 2. The ratio of area of trapezium ACED to that of ∆BED is
(a) 4 : 15
(b) 15 : 4
(c) 4 : 21
(d) 21 : 4
Q3.Two circles with centres A and B and radius 2 units touch each other externally at ‘C’ A third circle with centre ‘C’ and radius ‘4’ units meets other two at D and E. Then the area of the quadrilateral ABDE is
(a) 2√2 sq. units
(b) 3√3 sq. units
(c) 3√2 sq. units
(d) 2√3 sq. units
Q4.A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC.
(a) 15 cm
(b) 18 cm
(c) 16 cm
(d) 9 cm
Q5.A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is
(a) 42 cm^2
(b) 60 cm^2
(c) 84 cm^2
(d) 96 cm^2
Q6.The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. if the length of one of its diagonal be 26 cm, the length of the other diagonal will be:
(a) 5 cm
(b) 10 cm
(c) 6.5 cm
(d) 26 cm
Q7.The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is :
(a) 80 cm
(b) 72 cm
(c) 68 cm
(d) 64 cm
Q8.C1 and C2 are two concentric circles with centre at O, their radii are 12 cm and 3 cm, respectively, B and C are the point of contact of two tangents drawn to C2 from a point A lying on the circle C1. Then, the area of the quadrilateral ABOC is
(a) (9√15)/2 sq. cm
(b) 12√15 sq. cm
(c) 9√15 sq. cm
(d) 6√15 sq. cm
Q9.The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm^2) of the triangle is
(a) 240
(b) 180
(c) 360
(d) 120
Q10.A circle is inscribed in a square whose length of the diagonal is 12√2 cm. An equilateral triangle is inscribed in that circle. The length of the side of the triangle is
(a) 4√3 cm
(b) 8√3 cm
(c) 6√3 cm
(d) 11√3 cm
(a) 1 : 1
(b) 1∶√2
(c) 4 : 1
(d) 1 : 4
Q2.In ∆ABC, D and E are the points of sides AB and BC respectively such that DE || AC and AD : BD =3 : 2. The ratio of area of trapezium ACED to that of ∆BED is
(a) 4 : 15
(b) 15 : 4
(c) 4 : 21
(d) 21 : 4
Q3.Two circles with centres A and B and radius 2 units touch each other externally at ‘C’ A third circle with centre ‘C’ and radius ‘4’ units meets other two at D and E. Then the area of the quadrilateral ABDE is
(a) 2√2 sq. units
(b) 3√3 sq. units
(c) 3√2 sq. units
(d) 2√3 sq. units
Q4.A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC.
(a) 15 cm
(b) 18 cm
(c) 16 cm
(d) 9 cm
Q5.A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is
(a) 42 cm^2
(b) 60 cm^2
(c) 84 cm^2
(d) 96 cm^2
Q6.The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. if the length of one of its diagonal be 26 cm, the length of the other diagonal will be:
(a) 5 cm
(b) 10 cm
(c) 6.5 cm
(d) 26 cm
Q7.The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is :
(a) 80 cm
(b) 72 cm
(c) 68 cm
(d) 64 cm
Q8.C1 and C2 are two concentric circles with centre at O, their radii are 12 cm and 3 cm, respectively, B and C are the point of contact of two tangents drawn to C2 from a point A lying on the circle C1. Then, the area of the quadrilateral ABOC is
(a) (9√15)/2 sq. cm
(b) 12√15 sq. cm
(c) 9√15 sq. cm
(d) 6√15 sq. cm
Q9.The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm^2) of the triangle is
(a) 240
(b) 180
(c) 360
(d) 120
Q10.A circle is inscribed in a square whose length of the diagonal is 12√2 cm. An equilateral triangle is inscribed in that circle. The length of the side of the triangle is
(a) 4√3 cm
(b) 8√3 cm
(c) 6√3 cm
(d) 11√3 cm
Answers:
Q1.ABCD is a trapezium in which AB || DC and AB = 2 CD. The diagonals AC and BD meet at O. The ratio of area of triangles AOB and COD is
(a) 1 : 1
(b) 1∶√2
(c) 4 : 1
(d) 1 : 4
(a) 4 : 15
(b) 15 : 4
(c) 4 : 21
(d) 21 : 4
(a) 2√2 sq. units
(b) 3√3 sq. units
(c) 3√2 sq. units
(d) 2√3 sq. units
Q4.A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC.
(a) 15 cm
(b) 18 cm
(c) 16 cm
(d) 9 cm
Q5.A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is
(a) 42 cm^2
(b) 60 cm^2
(c) 84 cm^2
(d) 96 cm^2
Q6.The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. if the length of one of its diagonal be 26 cm, the length of the other diagonal will be:
(a) 5 cm
(b) 10 cm
(c) 6.5 cm
(d) 26 cm
Q7.The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is :
(a) 80 cm
(b) 72 cm
(c) 68 cm
(d) 64 cm
Q8.C1 and C2 are two concentric circles with centre at O, their radii are 12 cm and 3 cm, respectively, B and C are the point of contact of two tangents drawn to C2 from a point A lying on the circle C1. Then, the area of the quadrilateral ABOC is
(a) (9√15)/2 sq. cm
(b) 12√15 sq. cm
(c) 9√15 sq. cm
(d) 6√15 sq. cm
Q9.The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm^2) of the triangle is
(a) 240
(b) 180
(c) 360
(d) 120
Q10.A circle is inscribed in a square whose length of the diagonal is 12√2 cm. An equilateral triangle is inscribed in that circle. The length of the side of the triangle is
(a) 4√3 cm
(b) 8√3 cm
(c) 6√3 cm
(d) 11√3 cm
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