Quadratic Equations

In the figure DE || BC and AD : DB = 1 : 2 then ∆ADE : ∆ABC =
a. 1 : 4
b. 1 : 9
c. 4 : 1
d. 2 : 9

What are the exterior and the interior angles of an equilateral triangle in degrees?
a. 130, 60
b. 45, 45
c. 60, 60
d. 120, 60

∆ABC and ∆DEF are similar, AX, DY are medians. The ratio of areas of ∆ABC : ∆DEF = 4 : 9. If BX = 5 cm then find EF
a. 15
b. 13
c. 14
d. 12

Each exterior angle of an equilateral triangle is ___
a. 110 degrees
b. 180 degrees
c. 130 degrees
d. 120 degrees

A ladder 15 m long reaches a window which is 9 m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to other side of the street to reach a window 12 m high. Find the width of the street
a. 21 m
b. 23 m
c. 15 m
d. 30 m

In ∆DEF, PQ || EF, PE = 3 cm, PD = 1.5 cm the find QF.
a. 4DQ
b. 3DQ
c. DQ
d. 2DQ

Two triangles ABC and PQR are similar. If AB = 3.6, PQ = 2.4 and PR = 5.4, then the value of AC is

The lengths of diagonals of a rhombus are 24 cm and 32 cm then the perimeter of rhombus is
a. 220
b. 120
c. 112
d. 180

In an isosceles triangle PQR, PR = QR and PQ2 = 2PR2 then angle R in degrees
a. 90
b. 30
c. 45
d. 60

Two triangles ABC and PQR are similar. If AB = 3.6, PQ = 2.4 and PR = 5.4, find AC
a. 7.1
b. 6.1
c. 8.1
d. 5.1

If a man walks 6m to East and 8m to North. Now he is at a distance of ___ from origin point
a. 14 m
b. 2 m
c. 10 m
d. 48 m

Example for the sides of a Right angled triangle is ______
a. 5 , 12 , 13
b. 7 , 8 , 9
c. 5 , 6 , 9
d. 5 , 11 , 12

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. This property is
a. AAA
b. ASA
c. SSS
d. SAS

Maximum possible tangents that can drawn to a circle is __
a. Infinity
b. 2
c. 4
d. 100

Straight angle means is ___ degrees
a. 180
b. 200
c. 100
d. 190

The longest side in a right triangle is ___
a. Smaller
b. Adjacent
c. None
d. Hypotenuse

Side of a rhombus is 4 cm then its perimeter is ___ cm
a. 21
b. 16
c. 22
d. 20

Two polygons are similar if ____
a. Corresponding angles are equal
b. Both corresponding angles are equal & corresponding sides are equal
c. None
d. Corresponding sides are equal

The concurrent point of the altitudes of triangle is
a. Ortho centre
b. Centroid
c. Incentre
d. Circum centre

Ravi is 1.82 m tall. He wants to find the height of a tree in his backyard. From the tree’s base he walked 12.20 m along the tree’s shadow to a position where the end of his shadow exactly overlaps the end of the tree’s shadow. He is now 6.10 m from the end of the shadow. How tall is the tree?
a. 5.46 m
b. 4.46 m
c. 6.46 m
d. 3.46 m