CONSTRUCTIONS Test-05

If PT, QT are two tangents to a circle with centre O such that \(\angle PTQ = {42^o},\) then \(\angle POQ = \)

In drawing the tangent to circle at a point on it without using the centre of the circle as shown in figure, T’PT is the tangent, because

In the figure of Q. 5, if \({B_2}{C_2}||CB,\) then \({A_2}\) divides A’B in the ratio

To draw a pair of tangents to a circle which are inclined to each other at an angle of \({80^ \circ }\), it is required to draw tangents at end points of those two radii of the circle, the angle between them should be

A pair of tangents can be constructed from a point P to a circle of radius of radius 8 cm situated at a distance of ………... from the centre

To draw a pair of tangents to a circle which are inclined to each other at an angle of \({60^ \circ }\), it is required to draw tangents at end-points of those two radii of the circle, the angle between them should be

To construct a cyclic quadrilateral ABCD in which \(\angle B = {90^o},\) if a circle on which points A, B, C and D lie, has to be drawn, the centre of this circle is

To construct a triangle similar to a given \(\Delta PQR\) with its sides \(\frac{3}{7}\) of the corresponding sides of \(\Delta PQR,\) first draw a ray QX such that \(\angle RQX\) is an acute angle and X lies on the opposite side of P with respect to QR. Then locate points \({Q_1},{Q_2},{Q_3}....\) on QX at equal distances and next step is to join:

To construct a triangle similar to a given \(\Delta ABC\) with its sides \(\frac{5}{4}\) of the corresponding sides of \(\Delta ABC\), first draw ray AX such that \(\angle BAX\) is an acute angle and X is on the opposite side of C with respect to AB. Then locate the points \({A_1},{A_2},{A_3},...\) on AX at equal distances and next step is to join:

To construct a triangle similar to a given \(\Delta ABC\) with its sides \(\frac{8}{5}\) of the corresponding sides of \(\Delta ABC\). Draw a ray BX such that \(\angle CBX\) is an acute angle and X is on the opposite side of \(\angle A\) with respect to BC. The minimum number of points to be located at equal distances on ray BX is:

To construct a triangle similar to a given \(\Delta ABC\) with its sides \(\frac{4}{5}\) of the corresponding sides of \(\Delta ABC,\) first draw a ray BX such that \(\angle CBX\), is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points \({B_1},{B_2},{B_3},{B_4},{B_5}\) on BX at equal distances and join \({B_5}\) to C. Now, next step is to draw a line parallel to \({B_5}C\) and passing through:

The construction of a triangle, similar and larger to a given triangle as per given scale factor m : n, is possible only when,

The construction of triangle, similar and smaller to a given triangle as per given scale factor x : y, is possible only when,

To construct a triangle similar to a given \(\Delta \;ABC\) with its\(\frac{8}{5}\) of the corresponding sides of \(\Delta \;ABC,\) draw a ray BX such that \(\angle CBX\)is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is

To divide a line segment AB in the ratio p : q ( p, q are positive integers), draw a ray AX so that \(\angle BAX\) s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is :