Aspire Faculty ID #15298 · Topic: JAMIA MCA 2016 · Just now
JAMIA MCA 2016

The number of lines that are parallel to $2x+6y+7=0$ and have an intercept of length $10$ between the coordinate axes is …

Solution

Parallel lines: $2x+6y+c=0$. Intercept points: $( -\tfrac{c}{2},0)$ and $(0,-\tfrac{c}{6})$. Distance between them $=\sqrt{\left(\tfrac{c}{2}\right)^{2}+\left(\tfrac{c}{6}\right)^{2}} =|c|\,\dfrac{\sqrt{10}}{6}$. Set equal to $10$ ⇒ $|c|=6\sqrt{10}$ ⇒ two values $c=\pm6\sqrt{10}$.
← Previous Next →

Previous 10 Questions — JAMIA MCA 2016

Nearest first
1
If the point $P(x,y)$ is equidistant from $A(a+b,\,b-a)$ and $B(a-b,\,a+b)$, then …
Topic: JAMIA MCA 2016
 2
The points $A(12,8)$, $B(-2,6)$ and $C(6,0)$ are the vertices of …
Topic: JAMIA MCA 2016
 3
If $y=(x^{x})^{x}$, then $\dfrac{dy}{dx}$ is …
Topic: JAMIA MCA 2016
 4
If $y = x + e^{x}$, then $\dfrac{dx}{dy}$ is …
Topic: JAMIA MCA 2016
 5
If $y = \log(\tan \theta)$, then $\dfrac{dy}{d\theta}$ is equal to …
Topic: JAMIA MCA 2016
 6
If $\sqrt{x + y} + \sqrt{y - x} = \sqrt{2}a$, then $\dfrac{d^2 y}{d x^2}$ is equal to …
Topic: JAMIA MCA 2016
 7
If $y = \tan^{-1}\!\left(\dfrac{1 + \tan x}{1 - \tan x}\right)$, then $\dfrac{dy}{dx}$ is equal to …
Topic: JAMIA MCA 2016
 8
If $A$ and $B$ are two disjoint sets having $3$ and $5$ elements respectively, then power-set of $A \times (B - A)$ con…
Topic: JAMIA MCA 2016
 9
If $A = \{a, b, c\}$ and $B = \{a, b, d, e, f\}$ are two sets, then number of elements in $(A - B) \times (A \cap B)$ i…
Topic: JAMIA MCA 2016
 10
If $A$ and $B$ are two sets, then $(A \cup B)' \cap B$ is equal to …
Topic: JAMIA MCA 2016

Next 10 Questions — JAMIA MCA 2016

Ascending by ID
1
The four lines $ax\pm by\pm c=0$ enclose a …
Topic: JAMIA MCA 2016
 2
The area bounded by the lines $y=|x|-1$ and $y=-|x|+1$ is …… square unit.
Topic: JAMIA MCA 2016
 3
The number of vectors of unit length perpendicular to vectors $\vec{a} = \hat{i} + \hat{j}$ and $\vec{b} = \hat{k} + \h…
Topic: JAMIA MCA 2016
 4
The angle between vectors $\vec{a} \times \vec{b}$ and $\vec{b} \times \vec{a}$ is …
Topic: JAMIA MCA 2016
 5
Two dice are thrown. The probability that the sum of the numbers on two dice is 7 is …
Topic: JAMIA MCA 2016
 6
A single letter is selected at random from the word “JAMIA”. The probability that it is a vowel is …
Topic: JAMIA MCA 2016
 7
One die and a coin are tossed simultaneously. The probability of getting 6 on die and head on coin is …
Topic: JAMIA MCA 2016
 8
The 2’s complement of the binary number $(10101000)_2$ is …
Topic: JAMIA MCA 2016
 9
Which of the following is not a universal logic gate?
Topic: JAMIA MCA 2016
 10
Intel 8085 is a(n) _______ bit microprocessor.
Topic: JAMIA MCA 2016
Ask Your Question or Put Your Review.

loading...