The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and  are two points on the sides OA and OB respectively of Δ OAB, where O is the origin of co-ordinate system. Given that AB = 10 cm, then PQ =Â
20 cm
2.5 cm
40 cm
40 cm
The area of the triangle formed by the straight line 3x + 2y = 6 and the co-ordinate axes is
3 square units
6 square units
4 square units
4 square units
A.
3 square units
Putting y = 0 in the equation 3x + 2y = 6
3x + 0 = 6 ⟹ x = 2
∴  Point of intersection on x-axis = (2, 0)
Putting x = 0, in the equation
  3x + 2y = 6
  0 + 2y = 6
⟹  y = 3
∴  Point of intersection on y-axis = (0, 3)
∴  OA = 2,  OB = 3
The length of the intercept of the graph of the equation 9x - 12y = 108 between the two axes is
15 units
9 units
12 units
18 units
If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle isÂ
Suppose ΔABC be a right-angled triangle where  andÂ
 If Δ ABC = 40 cm2, ΔACD = 10 cm2 andÂ
 then the length of BC is
12 cm
18 cm
4 cm
4 cm
Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact and . ThenÂ
 is
35°
55°
65°
65°
The length of the common chord of two intersecting circles is 24 cm. If the diameters of the circles are 30 cm and 26 cm, then the distance between the circles in cm is
13
14
15
15
In ΔABC, D and E are points on AB and AC respectively such that DE || BC and DE divides the ΔABC into two parts of equal areas. Then ratio of AD and BD is
1 : 1