The points on the parabola y^2 = 36x whose ordinate is three time… - Vidyadip

MCQ

The points on the parabola ${y^2} = 36x$ whose ordinate is three times the abscissa are

✓
$(0, 0), (4, 12)$
B
$(1, 3), (4, 12)$
C
$(4, 12)$
D
None of these

✓

Answer

Correct option: A.

$(0, 0), (4, 12)$

a
(a) ${y_1} = 3{x_1}$.

According to given condition $9x_1^2 = 36{x_1}$

==> ${x_1} = 4,0$

==> ${y_1} = 12,0$

Hence the points are $(0,0)$ and $(4,12).$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - 10.2 parabola,ellipse,hyperbola→STD 11 - 10.2 parabola,ellipse,hyperbola — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The equations of the directrices of the ellipse $16{x^2} + 25{y^2} = 400$ are

Two integers are chosen at random and multiplied. The probability that the product is an even integer is

The negation of the statement “Akash or Ankitha lived in Goa” is:

Choose the correct answer. If $\tan\alpha=\frac{1}{7},\tan\beta=\frac{1}{3},$ then $\cos2\alpha$ is equal to:

If the sum of the first ten terms of the series ${\left( {1\frac{3}{5}} \right)^2} + {\left( {2\frac{2}{5}} \right)^2} + {\left( {3\frac{1}{5}} \right)^2} + {4^2} + \;\;.\;.\;.\;.\;,$ is $\frac{{16}}{5}m$ then $m$ is equal to :

Let $z=x+i y$ and $w=u+i v$ be complex numbers on the unit circle such that $z^2+w^2=1$. Then the number of ordered pairs $(z, w)$ is

In a school with an envolment of $950$ students, each student must join either the lions club or the country club or both. Given that $646$ students are members of the lions club and $532$ are members of the country club, calculate the number of students who are members of both clubs:

What would be the hypothesis of mathematical induction for $n(n + 1) < n! ($where $n ≥ 4)\ ?$

In a class of $30$ pupils, $12$ take needle work, $16$ take physics and $18$ take history. If all the $30$ students take at least one subject and no one takes all three then the number of pupils taking $2$ subjects is

If events $A$ and $B$ are independent and $P(A) = 0.15, P(A ∪ B) = 0.45,$ then $P(B)=:$