Find the value of p for which the lines, px + 3y + 5 = 0 and 8x + 2y - 3 = 0 are parallel. Option 1: 12 Option 2: -8 Option 3: -12 Option 4: 8

Answer: 12. Solution: Two lines are parallel when they have the same slope. Line 1: px + 3y + 5 = 0 Line 2: 8x + 2y - 3 = 0 Converting Line 2 to slope-intercept form: 8x + 2y - 3 = 0 2y = -8x + 3 y = -4x + 3/2 Slope of Line 2 is -4. Converting Line 1 to slope-intercept form: px + 3y + 5 = 0 3y = -px - 5 y = -p/3x - 5/3 Slope of Line 1 is -p/3. For the lines to be parallel, their slopes must be equal: -p/3 = -4 p = 12 Therefore, p = 12.

Quantitative Reasoning

Linear Equation

Easy

Find the value of p for which the lines, $px + 3y + 5 = 0$ and $8x + 2y - 3 = 0$ are parallel.

-8

-12

✅ Correct Option: 1

Two lines are parallel when they have the same slope.

Line 1: $px + 3y + 5 = 0$

Line 2: $8x + 2y - 3 = 0$

Converting Line 2 to slope-intercept form:

$8x + 2y - 3 = 0$

$2y = -8x + 3$

$y = -4x + \dfrac{3}{2}$

Slope of Line 2 is $-4$ .

Converting Line 1 to slope-intercept form:

$px + 3y + 5 = 0$

$3y = -px - 5$

$y = -\dfrac{p}{3}x - \dfrac{5}{3}$

Slope of Line 1 is $-\dfrac{p}{3}$ .

For the lines to be parallel, their slopes must be equal:

$-\dfrac{p}{3} = -4$

$p = 12$

Therefore, $p = 12$ .

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Choose the correct answer from the options given below:

2026: 25 May Shift 1

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B. $3x + 2y = 5; 2x - 3y = 7.$

C. $2x - 2y - 2 = 0; 4x - 4y - 5 = 0.$

D. $2x - 3y = 8; 4x - 6y - 5 = 9$

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2023: 5 June Shift 2

In a 2-digit number, the ten's digit is two times its unit's digit and the number is 12 less than two times the number obtained by interchanging its digits. Find the original number.

Find the value of p for which the lines, px+3y+5=0px + 3y + 5 = 0px+3y+5=0 and 8x+2y−3=08x + 2y - 3 = 08x+2y−3=0 are parallel.

Solution

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CUET General Test Past Year Questions (Topic-Wise)

Find the value of p for which the lines, $px + 3y + 5 = 0$ and $8x + 2y - 3 = 0$ are parallel.