Write True or False and give reasons for your answer.
A pair of tangents can be constructed to a circle inclined at an angle of 170°.
Write True or False and give reasons for your answer.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
Write True or False and give reasons for your answer.
To construct a triangle similar to a given ∆ABC with its sides 7/3 of the corresponding sides of ∆ABC, draw a ray BX making acute angle with BC and X lies on the opposite side of A with respect to BC. The points B1, B2, …., B7 are located at equal distances on BX, B3 is joined to C and then a line segment B6C’ is drawn parallel to B3C where C’ lies on BC produced. Finally, line segment A’C’ is drawn parallel to AC.
To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be
(A) 135° (B) 90° (C) 60° (D) 120°
To construct a triangle similar to a given ∆ABC with its sides 8/5 of the corresponding sides of ∆ABC draw a ray BX such that ∠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
(A) 5 (B) 8 (C) 13 (D) 3
To construct a triangle similar to a given ∆ABC with its sides 3/7 of the corresponding sides of ∆ABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1, B2, B3, … on BX at equal distances and next step is to join
(A) B10 to C (B) B3 to C (C) B7 to C (D) B4 to C
To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that ∠BAXis an acute angle, then draw a ray BY parallel to AX and the points A1, A2, A3, … and B1, B2, B3, … are located at equal distances on ray AX and BY, respectively. Then the points joined are
(A) A5 and B6 (B) A6 and B5 (C) A4 and B5 (D) A5 and B4
To divide a line segment AB in the ratio 4:7, a ray AX is drawn first such that∠BAX is an acute angle and then points A1, A2, A3, …. are located at equal distances on the ray AX and the point B is joined to
(A) A12 (B) A11 (C) A10 (D) A9
To divide a line segment AB in the ratio 5:7, first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is
(A) 8 (B) 10 (C) 11 (D) 12
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