Download App

9. straight line — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS9. straight line1 Mark
MCQ
The points $(at_1^2,2a{t_1}),(at_2^2,2a{t_2})$and $(a,0)$will be collinear, if
  • A
    ${t_1}{t_2} = 1$
  • ✓
    ${t_1}{t_2} = - 1$
  • C
    ${t_1} + {t_2} = 1$
  • D
    ${t_1} + {t_2} = - 1$
✓

Answer

Correct option: B.
${t_1}{t_2} = - 1$
b
(b)$\frac{{a - at_2^2}}{{at_2^2 - at_1^2}} = \frac{{ - 2a{t_2}}}{{2a{t_2} - 2a{t_1}}}$
==> $(1 - t_2^2) = - {t_2}({t_2} + {t_1})$or ${t_1}{t_2} = - 1$.

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 "MCQ" from 9. straight line→9. straight line — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the arithmetic and geometric means of $a$ and $b$ be $A$ and $G$ respectively, then the value of $A - G$ will be
→
If the square of (a + ib) is real, then ab =
→
The equation of the circle which passes through the origin, has its centre on the line $x + y = 4$ and cuts the circle ${x^2} + {y^2} - 4x + 2y + 4 = 0$ orthogonally, is
→
$\mathop {\lim }\limits_{x \to 0} \frac{{x({e^x} - 1)}}{{1 - \cos x}} = $
→
Let the coefficients of three consecutive terms in the binomial expansion of $(1+2 x)^{ n }$ be in the ratio $2: 5: 8$. Then the coefficient of the term, which is in the middle of these three terms, is $...........$.
→
How many different nine-digit numbers can be formed from the digits of the number $223355888$ by rearrangement of the digits so that the odd digits occupy even places
→
The $S.D.$ of a variate $x$ is $\sigma$. The $S.D.$ of the variate $\frac{{ax + b}}{c}$ where $a, b, c$ are constant, is
→
The sum of all those terms which are rational numbers in the expansion of $\left(2^{1 / 3}+3^{1 / 4}\right)^{12}$ is:
→
Let $S=\left\{\theta \in(0,2 \pi): 7 \cos ^{2} \theta-3 \sin ^{2} \theta-2\right.$ $\left.\cos ^{2} 2 \theta=2\right\}$. Then, the sum of roots of all the equations $x ^{2}-2\left(\tan ^{2} \theta+\cot ^{2} \theta\right) x +6 \sin ^{2} \theta=0$ $\theta \in S$, is$...$
→
The number of real solution of equation $(\frac{3}{2})^x =  -x^2 + 5x-10$ :-
→