175 questions asked across 4 exam years, newest first
At what angle θ, the value of sin(θ) and cos(θ) will have the same value?
Answer: B
If ∆ABC and ∆QPR are congruent triangles such that AB = 7 cm, AC = 8 cm, ∠B = 65° and∠C = 75°, then which of the following is true?
Answer: B
Simplify. , where A is an acute angle.
Answer: D
If , and is an acute angle, then the value of is:
Answer: D
If we extend a chord infinitely on both sides, then the chord becomes a ___________.
Answer: C
In a right angle △ABC, ∠B = 90°, if tanA = 1, then 4 sinA cosA = ________________.
Answer: D
In right-angled triangle ABC, , CM is perpendicular on AB. If AB = 18 cm and BM = 6 cm, then find the length of CM.
Answer: B
In a triangle, the lengths of sides are 6 units, 12 units and x units. How many possible integer values are there for x?
Answer: A
In triangle ABC, D is the mid-point of BC. If DL perpendicular to AB and DM perpendicular to AC such that DL = DM, then the triangle will be:
Answer: D
In the following sets, which set represents the angles of a triangle?
Answer: C
The angle turned by minutes hand in 25 minutes in a clock is:
Answer: C
In a triangle PQR, S is a point on the side QR such that PS ⊥ QR, then which of the following options is true?
Answer: D
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles are congruent by SAS criterion if:
Answer: A
If , where is an acute angle, then find the value of .
Answer: D
In a right-angled at C, if , then the value of is:
Answer: C
In a triangle ΔABC, AB = AC and ∠A = 80°, then find ∠B.
Answer: D
In a triangle ABC, the . If , then is equal to:
Answer: D
In ∆ABC, two medians AD and BE intersect at G at right angles. If AD = 12 cm and BE = 9 cm, then the length of AB is equal to:
Answer: C
Consider a triangle PQR, right-angled at R, in which PQ = 29 units, QR = 21 units, and ∠PQR = θ. Find the value of cos2θ − sin2θ.
Answer: B
By applying which of the following criteria can two triangles NOT be proved congruent?
Answer: B
A pole 10 m long rests slantly against a vertical wall AB making an angle 30° with the horizontal (ground). Find how far the foot of the pole is from the wall (in metres).
Answer: A
If 45° and 65° are the angles of a triangle, then find the exterior angle of the third angle (remaining angle).
Answer: C
If , and is an acute angle, then is equal to:
Answer: C
In a △PQR, the bisectors of ∠Q and ∠R meet at point O, inside the triangle. If ∠QOR = 107°, then the measure of ∠P is:
Answer: C
If A is an acute angle, which of the following is equal to ?
Answer: D
