Mathematics

# The equation of the tangent drawn at the ends of the major axis of the ellipse $9x^2+5y^2-30y=0$are

##### SOLUTION
Given equation of ellipse,

$9x^2+5y^2-30y=0$

converting the given equation of ellipse to standard form, we get,

$\dfrac{x^2}{5}+\dfrac{(y-3)^2}{9}=1$

Equation of tangent to the major axis is given by,

$y=\pm k$

Therefore the equation of tangents to the major axis of $\dfrac{x^2}{5}+\dfrac{(y-3)^2}{9}=1$ are

$y=\pm 3$

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
From the given figure write two pairs of supplementary angles:

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
In the figure, AO=OD and OB=OC. Then
• A. $\displaystyle AB=CD$
• B. $\displaystyle \angle ABC=\angle BCD$
• C. $\displaystyle \angle BAD=\angle ADC$
• D. All of these

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
In figure, lines $l$ and $m$ intersect each other at a point. Which of the following is false?
• A. $\angle a= \angle b$
• B. $\angle d =\angle c$
• C. $\angle a+ \angle d=180^o$
• D. $\angle a=\angle d$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
The difference between the supplement of an angle and the angle is $36^{\circ}$. The supplement is:
• A. $72^{\circ}$
• B. $63^{\circ}$
• C. $27^{\circ}$
• D. $108^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
The measure of an angle which is five times its supplement is
• A. $36^{\circ}$
• B. $30^{\circ}$
• C. $180^{\circ}$
• D. $150^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020