Mathematics

$2x+3y=7$ and $2x+3y=12$ are two parallel staright lines, then where does the point $(1,3)$ lies.

SOLUTION
Given: $2x+3y = 7$      $2x+3y=12$
Let $L_1 \to 2x+3y-7=0$           $L_2\to 2x+3y-12=0$
Let given point $P(1,3)$
If $L_1(P) \times L_2(P) < 0$  Point lies between lines
otherwise not between lies
$L_1 (P) = 2(1) + 3(3) - 7 = 4$
$L_2(P) = 2(1) + 3(3)-12 = -1$
$L_1(P) \times L_2(P) = 4 \times -1 = -4 < 0$
So point lies between the lines. You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Subjective Medium
Classify the following angle as acute, obtuse, straight, right, zero and complete angle.
$75^o$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
In the figure. Find x , If $l\parallel m$ & $p\parallel q$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
In the given figure, $PQ || RT$. Find the value of ${a} + {b}$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Hard
In given figure DE||BC and $AD:DB=5:4$ Find $\dfrac { Area(\triangle DEF) }{ Area(\triangle CFB) }$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
The measure of $\displaystyle \angle POQ$ in the following figure is:
• A. $\displaystyle 90^{\circ}$
• B. $\displaystyle 70^{\circ}$
• C. $\displaystyle 20^{\circ}$
• D. $\displaystyle 110^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020