Lakshya Education MCQs

Question: If $$x \ne 0,$$   $$y \ne 0$$   and $$z \ne 0$$   and $$\frac{1}{{{x^2}}}$$  + $$\frac{1}{{{y^2}}}$$  + $$\frac{1}{{{z^2}}}$$  = $$\frac{1}{{xy}}$$  + $$\frac{1}{{yz}}$$  + $$\frac{1}{{zx}}$$  then the relation among x, y, z is?
Options:
A.x + y + y = 0
B.x + y = z
C.$$\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0$$
D.x = y = z
Answer: Option D

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More Questions on This Topic :

Question 1. If a + b = 1, c + d = 1 and a - b = $$\frac{d}{c}{\text{,}}$$  then the value of c2 - d2 = ?
  1.    $$\frac{a}{b}$$
  2.    $$\frac{b}{a}$$
  3.    1
  4.    -1
Answer: Option B
Question 2. If x = 3t, y = $$\frac{1}{2}$$(t + 1), then the value of t for which x = 2y is?
  1.    1
  2.    $$\frac{1}{2}$$
  3.    -1
  4.    $$\frac{2}{3}$$
Answer: Option B
Question 3. If $${x^2} + \frac{1}{5}x + {a^2}$$   is a perfect square, then a is?
  1.    $$\frac{1}{{100}}$$
  2.    $$ \pm \frac{1}{{10}}$$
  3.    $$\frac{1}{{10}}$$
  4.    $$ - \frac{1}{{10}}$$
Answer: Option C
Question 4. If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is?
  1.    3
  2.    $${\text{3}}\frac{1}{4}$$
  3.    2
  4.    $${\text{2}}\frac{1}{4}$$
Answer: Option D
Question 5. If $$\frac{a}{b} = \frac{4}{5}$$   and $$\frac{b}{c} = \frac{{15}}{{16}}{\text{,}}$$   then $$\frac{{18{c^2} - 7{a^2}}}{{45{c^2} + 20{a^2}}}$$   is equal to?
  1.    $$\frac{1}{3}$$
  2.    $$\frac{2}{5}$$
  3.    $$\frac{3}{4}$$
  4.    $$\frac{1}{4}$$
Answer: Option D
Question 6. If $$\frac{{x - {a^2}}}{{b + c}}$$   + $$\frac{{x - {b^2}}}{{c + a}}$$   + $$\frac{{x - {c^2}}}{{a + b}}$$   = 4(a + b + c), then x = ?
  1.    (a + b + c)2
  2.    a2 + b2 + c2
  3.    ab + bc + ca
  4.    a2 + b2 + c2 - ab - bc - ca
Answer: Option A

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