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[mathjax] Question 1 State which of the following pairs of triangles are similar. Write the similarity criterion used and write the pairs of similar triangles in symbolic form (all lengths of sides...
[mathjax] Question 1 In ΔABC, P and Q are two points on AB and AC respectively such that PQ || BC and $\frac{A P}{P B}=\frac{2}{3}$ , then find $\frac{A Q}{Q C}$. Sol : Given: PQ || BC and $\frac{A...
[mathjax] Question 1 Fill in the blanks with the correct word given in brackets: (i) All squares are having the same length of sides are………. [similar, congruent, both congruent and similar] (ii) All...
[mathjax] Question 1 Fill in the blanks (i) sin 2 θ cosec 2 θ = …….. (ii) 1 + tan 2 θ = …… (iii) Reciprocal sin θ. cot θ = …… (iv) 1–.......= cos 2 θ (v) $\tan A=\frac{\cdots \cdots \cdot}{\cos A}$...
[mathjax] Question 1 Express the following as trigonometric ratio of complementary angle of θ. (i) cos θ (ii) sec θ (iii) cot θ (iv) cosec θ (v) tan θ Sol : (i) We know that $\cos \theta=\frac{\text...
[mathjax] Question 1 Find the value of the following : (i) sin 30 o + cos 60 o (ii) sin 2 45 o +cos 2 45 o (iii) sin 30 o + cos 60 o – tan45 o (iv) $\sqrt{1+\tan ^{2} 60^{\circ}}$ (v) tan 60 o x...
[mathjax] Question 1 From the given figure, find the value of the following: (i) sin C (ii) sin A (iii) cos C (iv) cos A (v) tan C (vi) tan A Sol : (i) Sin C We know that, $\sin \theta=\frac{\text {...
[mathjax] Question 1 The sum of the two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers. Sol : Let the two numbers be x and y. According to the question, x + y = 18 …(i)...
[mathjax] Question 1 A Solve the following pair of linear equation by cross - multiplication method: 8x + 5y = 9 3x + 2y = 4 Sol : Given, pair of equations is 8x + 5y – 9 = 0 and 3x + 2y – 4 = 0 By...
[mathjax] Question 1 A Solve the following system of equations by elimination method: 3x – 5y – 4 = 0 9x = 2y + 7 Sol : Given pair of linear equations is 3x – 5y – 4 = 0 …(i) And 9x = 2y + 7 …(ii) On...
[mathjax] Question 1 A Solve the following pair of linear equations by substitution method: 7x— 15y = 2 x + 2y = 3 Sol : Given equations are 7x – 15y = 2 …(i) x + 2y = 3 …(ii) From eq n (ii), x = 3 –...
[mathjax] Question 3 Present age of father is 30 years more than twice that of his son. After 10 years, the age of father will be thrice the age of his son. Represent this situation algebraically and...