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To divide a line segment AB in the ratio a : b (a,b are positive integers), first a ray AX is drawn such that \( \angle \)BAX is acute and then at equal distancs points are marked on the ray AX such that the minimum number of points is :
Minimum no. of points = a + b
The divide a line segment AB in the ratio 5 : 6, first a ray AX is drawn such that \(\angle \)BAX is acute and then points \(P_1,P_2,P_3\)….are located at equal distances on ray AX. The point B is joined to :
Point B is joined to
To divide a line segment AB in the ratio 4 : 5, first a ray AX is drawn such that \(\angle \)BAX is acute and then a ray BY parallel to AX is drawn. Then on ray AX and BY, respectively the points \(A_1, A_2, A_3\)…..and \(B_1, B_2, B_3\)…. are located at equal distances. Now we join the points :
Points are joined at and
To divide a line segment AB in the ratio 3 : 8, first a ray AX is drawn such that \(\angle \)BAX is acute and then at equal distance points \(A_1, A_2, A_3\)…. are, marked on ray AX. Then point B is joined to \(A_{ 11}\) and a line parallel to \(A_{11}B\) is drawn through the point :
is drawn through
To draw a pair of tangents to a circle which are inclined to each other at an angle of \(40^o \), it is required to draw tangents at the end points of those two radii of the circle, the angle between which is :
To locate the centre of a circle we take any two nonâ€“parallel chords and then find the point of intersection of their :
To draw the centre of a circle we take the perpendicular bisector of non parallel chords.
The centre of a circle is not given and a point P outside the circle is given. From P, we :
From P, we can always draw the pair of tangents.
To construct a triangle similar to a given triangle ABC with its sides \(\dfrac{3}{7} \) of the corresponding sides of \(\triangle \)ABC , first a ray AX is drawn such that \(\angle \)CBX is acute and X lies on the opposite side of A with respect to BC. Then points \(B_1, B_2, B_3,\)….on BX are located at equal distances and next step is to join :
We locate points on at equal distance and then join the last points to .
To construct a triangle similar to DABC with sides \(\dfrac{5}{3} \) of the corresponding sides of DABC, first draw a ray BX such that \(\angle \)CBX is acute and X is on the opposite side of A with respect to BC. The minimum number of points to be located on ray BX at equal distances is :
Min points
The construct a pair of tangents to a circle with centre O from a point P outside the circle, we first join OP. The next step is to :
The next step is to join P to any point on the circle.
The draw a pair of tangents to a circle which are inclined to each other at an angle of \(60^o \), it is required to draw the tangents at the end point of two radii inclined at an angle of :
To divide a line segment AB in the ratio 3 : 4, we draw a ray AX, so that angle BAX is an acute angle, and then mark the point on the ray AX at equal distances such that the minimum number of these points is :
Min points
To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that \(\angle \)BAX is an acute angle and then point \(A_1, A_2, A_3,\)…..are located at equal distances on the ray AX and the point B is joined to :
is joined to
Given a triangle with side \(AB = 8\ cm\). To get a line segment \(AB=\dfrac{3}{4} \) of \( AB\), it is required to divide the line segment \(AB \) in the ratio :
In drawing a triangle, it is given that AB = 3 cm, BC = 2 cm and AC = 6 cm. It is not possible to draw the triangle as :
Sum of two sides should be greater than third side
In the figure, P divides AB internally in the ratio
P divides AB in 3 : 4
In the construction of triangle similar and large r to a given triangle as per given scale factor in m : n, the construction is possible only when :
To construct a larger triangle we need m > n
In the figure, \(AA_1 = A_1A_2 = A_2A_3 = A_3B\). If \(B_1A_1  CB\), then \(A_1\) divides \(AB \) in the ratio
divides in
The sides of a triangle (in cm) are given below : In which case, the construction of triangle is not possible ?
as
Sum of two sides should be greater than third side.