HOTs Triangles 10 Mathematics

Please refer to Triangles HOTs Class 10 Mathematics provided below with Triangles. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.

Triangles Class 10 Mathematics HOTs

Questions of 1 Mark

Question. Evaluate: cos 60°cos 45° – sin60° sin 45°.

Question. If θ = 45°, find the value of sec² θ.

Question. If θ is a positive acute angle such that sec θ = cosec60°, then find the value of 2 cos² θ-1.

Question. Find the value of
tan15°.tan25°.tan30°.tan65°.tan85°

Question. Can cos θ = 5/4 be possible?

Question. Find the value of sin65° – cos25° without using tables.

Question. Find the value of 9 sec² A – 9 tan²A.

Question. If 2 sin X/2 – 1 = 0, find the value of x.

Question. If sec 5A = cosec(A – 36°), find the value of A.

Questions of 2 Mark

Question. If 5 tan θ – 4 = θ, then find the value of

Question. From the figure find the value of sin x and cos y.

Question. If ∠XAC = 45°, find the value of x and y in the figure

Question. In fig, if A= CDE, AB=9cm, AD=7cm, CD=8cm, CE = 10cm. Find DE if Δ CAB U CED

Question. ΔADE ˜ Δ ABC , if DE=4cm, BC=8cm and ar(ΔADE)=25sq cm. Find the area of ΔABC.

Question. Find ‘y’ if ΔABC U Δ PQR

Question. If ar ΔABC = 1/4 ar ΔDEF Find AB/DE

Question.

Write symbolic representation for above similarity.

Question. ΔABC is a right triangle, right angled at ∠ B, BD ⊥ AC then ΔADB _____________

Question. Find AE/CE if D is mid point of AB and DE||BC

Question. In fig ∠B = 900, if AB² + BC² + CD² = AD² Find ∠ ACD.

Question. In ΔABC, if 2AB²=AC², Find ∠ B.