Download App

STD 11 - 9. straight line — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 9. straight line1 Mark
MCQ
The straight lines $4ax + 3by + c = 0$ where $a + b + c = 0$, will be concurrent, if point is
  • A
    $(4,\, 3)$
  • ✓
    $(1/4, \,1/3)$
  • C
    $(1/2, \,1/3)$
  • D
    None of these
✓

Answer

Correct option: B.
$(1/4, \,1/3)$
b
(b) The set of lines is $4ax + 3by + c = 0$, where $a + b + c = 0$.

Eliminating $c$, we get $4ax + 3by - (a + b) = 0$

==> $a(4x - 1) + b(3y - 1) = 0$

This passes through the intersection of the lines $4x - 1 = 0$ and $3y - 1 = 0$i.e.$x = \frac{1}{4},\,y = \frac{1}{3}$i.e., $\left( {\frac{1}{4},\,\frac{1}{3}} \right)$.

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 - 9. straight line→STD 11 - 9. straight line — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If the arcs of the same length in two circles $S_1$ and $S_2$ subtend angles $75^o $ and $120^o $ respectively at the centre. The ratio $\frac{{{S_1}}}{{{S_2}}}$ is equal to
→
If the equation $\frac{\lambda(\text{x}+1)^2}{3}+\frac{(\text{y}+2)^2}{4}=1$ represents a circle then $\lambda$:
→
The value of $m$ for which the equation $\frac{a}{{x + a + m}} + \frac{b}{{x + b + m}} = 1$has roots equal in magnitude but opposite in sign is
→
Let $\alpha ,\beta $ be the roots of ${x^2} + (3 - \lambda )x - \lambda = 0.$ The value of $\lambda $ for which ${\alpha ^2} + {\beta ^2}$ is minimum, is
→
The circle $C_1: x^2+y^2=3$, with centre at $O$, intersects the parabola $x^2=2 y$ at the point $P$ in the first quadrant. Let the tangent to the circle $C_1$ at $P$ touches other two circles $C_2$ and $C_3$ at $R_2$ and $R_3$, respectively. Suppose $C_2$ and $C_3$ have equal radii $2 \sqrt{3}$ and centres $Q_2$ and $Q_3$, respectively. If $Q_2$ and $Q_3$ lie on the $y$-axis, then

($A$) $Q_2 Q_3=12$

($B$) $ R_2 R_3=4 \sqrt{6}$

($C$) area of the triangle $O R_2 R_3$ is $6 \sqrt{2}$

($D$) area of the triangle $P Q_2 Q_3$ is $4 \sqrt{2}$

→
The number of arrangements of the letters of the word $SATAYPAUL$ such that no two $A$ are together and middle letter is consonant, is
→
A basket contains $5$ apples and $7$ oranges and another basket contains $4$ apples and $8$ oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges
→
$\mathop {\lim }\limits_{x \to 0} \frac{{x({e^x} - 1)}}{{1 - \cos x}} = $
→
Suppose $A_1, A_2, ..., A_{30}$ are thirty sets each having $5$ elements and $B_1, B_2, ...,$ Bn are $n$ sets each with $3$ elements$,$ let $\bigcup\limits_{\text{i}=1}^{30}\text{A}_\text{i}=\bigcup\limits_{\text{j}=1}^\text{n}\text{B}_\text{j}=\text{S}$ and each element of $S$ belongs to exactly $10$ of the $A_i ’s$ and exactly $9$ of the $B, 'S.$ then $n$ is equal to.
→
If $\sin(\pi\cos\text{x})=\cos(\pi\sin\text{x}),$ then $\sin2\text{x}=$
→