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Ans. (b) 5 cm
Explanation:
△AOB is a right angle triangle.
∴ by pythagoras theorem
(OA)^2 = (OB)^2 - (AB)^2\\
OA = (13)^2 - (12)^2
OA = 169 - 144 = 25
= 5 cm.
Ans. (b) 5 cm
Explanation:
As we know that
(DC)^2 = AC × BC \\
(6)^2 = 9 × BC
BC = 369 = 4 cm.
Now AB = AC – BC
= 9 – 4
AB = 5 cm
Explanation:
Steps of construction :
(i) Draw a circle with radius = 3·5 cm.
(ii) Draw diameter BOD and construct ∠BOA = 90°.
(iii) Again make ∠BOC = 120°.
(iv) Join AB, AC and BC. Then, ABC is the required triangle
Explanation:
Given, radius = 4 cm and OP = 7 cm
Steps of constructions :
(i) Draw a circle of radius 4 cm with centre at O.
(ii) Draw a line OX and cut-off OP = 7 cm.
(iii) Bisect OP at M.
(iv) With M as centre, draw a circle passing through the points O and P to cut the previous circle at A and B.
(v) Join P with A and B. Hence, AP and BP are the required tangents.
∴ The length of tangent, AP = 5.7 cm
Explanation:
Steps of construction :
(i) Draw a line segment AB = 5 cm long.
(ii) Make an angle of 75° at ‘B’ draw perpen -dicular bisector of AB and angular bisector of B.
(iii) Mark 3·5 cm on the perpendicular bisector with O as center and radius equal to OA or OB draw circumcircle.
(iv) Mark 2·5 cm on AC from A.
(v) Join BD, it will intersect at P, with P as centre and PD as radius draw another circle.
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Download NowChapter No. | Chapter Name |
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Chapter 1 | Goods and Service Tax (GST) |
Chapter 2 | Banking |
Chapter 3 | Shares and Dividends |
Chapter 4 | Linear inequations |
Chapter 5 | Quadratic Equations in one variable |
Chapter 6 | Ratio and proportion |
Chapter 7 | Factorization |
Chapter 8 | Matrices |
Chapter 9 | Arithmetic Progression |
Chapter 10 | Geometric Progression |
Chapter 11 | Coordinate Geometry |
Chapter 12 | Reflection |
Chapter 13 | Similarity |
Chapter 14 | Loci |
Chapter 15 | Circles |
Chapter 16 | Constructions |
Chapter 17 | Mensuration |
Chapter 18 | Trigonometry |
Chapter 19 | Statistics |
Chapter 20 | Probability |
Chapter Wise Important Questions for ICSE Board Class 10 Mathematics |
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Goods and Service Tax (GST) |
Banking |
Shares and Dividends |
Linear inequations |
Quadratic Equations in one variable |
Ratio and proportion |
Factorization |
Matrices |
Arithmetic Progression |
Geometric Progression |
Coordinate Geometry |
Reflection |
Similarity |
Loci |
Circles |
Constructions |
Mensuration |
Trigonometry |
Statistics |
Probability |
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