{"id":31903,"date":"2018-10-10T10:15:31","date_gmt":"2018-10-10T10:15:31","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=31903"},"modified":"2020-11-25T15:53:14","modified_gmt":"2020-11-25T10:23:14","slug":"ml-aggarwal-class-10-solutions-for-icse-maths-chapter-17-chapter-test","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-17-chapter-test\/","title":{"rendered":"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Constructions Chapter Test"},"content":{"rendered":"
These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths<\/a>. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Constructions Chapter Test.<\/p>\n ML Aggarwal Solutions<\/a>ICSE Solutions<\/a>Selina ICSE Solutions<\/a><\/p>\n Question 1.<\/strong><\/span> Steps of Construction :<\/p>\n <\/p>\n Question 2.<\/strong><\/span> Steps of construction :<\/p>\n <\/p>\n Question 3.<\/strong><\/span> Steps of Construction :<\/p>\n <\/p>\n Question 4.<\/strong><\/span> Steps of Construction :<\/p>\n <\/p>\n Question 5.<\/strong><\/span> <\/p>\n Question 6.<\/strong><\/span> <\/p>\n Question 7.<\/strong><\/span> <\/p>\n Question 8.<\/strong><\/span> <\/p>\n Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Constructions Chapter Test are helpful to complete your math homework.<\/p>\n
\nDraw a circle of radius 3 cm. Mark its centre as C and mark a point P such that CP = 7 cm. Using ruler and compasses only, Construct two tangents from P to the circle.<\/strong>
\nSolution:
\n<\/strong><\/span><\/p>\n\n
\nIt will touch the tangent T and PS and the given circle at Q.
\nThis is the required circle.<\/li>\n<\/ol>\n
\nDraw a line AQ = 7 cm. Mark a point P on AQ such that AP = 4 cm. Using ruler and compasses only, construct :<\/strong>
\n(i) a circle with AP as diameter.<\/strong>
\n(ii) two tangents to the above circle from the point Q.<\/strong>
\nSolution:
\n<\/strong><\/span><\/p>\n\n
\nwhich intersects the first circle at T and S.<\/li>\n
\nQT and QS are the tangents to the first circle.<\/li>\n<\/ol>\n
\nUsing ruler and compasses only, construct a triangle ABC having given c = 6 cm, b = 1 cm and \u2220A = 30\u00b0. Measure side a. Draw carefully the circumcircle of the triangle.<\/strong>
\nSolution:
\n<\/strong><\/span><\/p>\n\n
\nwhich intersects the ray CX at B.<\/li>\n
\ndraw a circle which will pass through A, B and C.
\nThis is the required circumcircle of \u2206ABC<\/li>\n<\/ol>\n
\nUsing ruler and compasses only, construct an equilateral triangle of height 4 cm and draw its circumcircle.<\/strong>
\nSolution:
\n<\/strong><\/span><\/p>\n\n
\non each side of AD meeting the line XY at B and C.<\/li>\n
\ndraw a circle which will pass through A, B and C.
\nThis is the required circumcircle of \u2206ABC.<\/li>\n<\/ol>\n
\nUsing ruler and compasses only :<\/strong>
\n(i) Construct a triangle ABC with the following data: BC = 7 cm, AB = 5 cm and \u2220ABC = 45\u00b0.<\/strong>
\n(ii) Draw the inscribed circle to \u2206ABC drawn in part (i).<\/strong>
\nSolution:
\n<\/strong><\/span>Steps of construction :<\/p>\n\n
\nwhich touches the sides of \u2206ABC at D, E and F respectively.
\nThis is the required inscribed circle.<\/li>\n<\/ol>\n
\nDraw a triangle ABC, given that BC = 4cm, \u2220C = 75\u00b0 and that radius of circumcircle of \u2206ABC is 3 cm.<\/strong>
\nSolution:
\n<\/strong><\/span>Steps of Construction:<\/p>\n\n
\n\u2206ABC is the required triangle<\/li>\n<\/ol>\n
\nDraw a regular hexagon of side 3.5 cm construct its circumcircle and measure its radius.<\/strong>
\nSolution:
\n<\/strong><\/span>Steps of construction:<\/p>\n\n
\nwhich intersect each other at O.<\/li>\n
\nwhich passes through A, B, C, D, E and P.
\nThen this is the required circumcircle.<\/li>\n<\/ol>\n
\nConstruct a triangle ABC with the following data: AB = 5 cm, BC = 6 cm and \u2220ABC = 90\u00b0.<\/strong>
\n(i) Find a point P which is equidistant from B and C and is 5 cm from A. How many such points are there ?<\/strong>
\n(ii) Construct a circle touching the sides AB and BC, and whose centre is equidistant from B and C.<\/strong>
\nSolution:
\n<\/strong><\/span>Steps of Construction :<\/p>\n\n
\nThere are two points.<\/li>\n
\nThis is the required circle.<\/li>\n<\/ol>\n