Area of triangle whose vertices \( \left(a, a^{2}\right)\left(b, b^{2}\right)\left(c, c^{2}\righ....
Area of triangle whose vertices \( \left(a, a^{2}\right)\left(b, b^{2}\right)\left(c, c^{2}\right) \)
\( \mathrm{P} \)
is \( \frac{1}{2} \), and area of another triangle whose vertices are \( \left(p, p^{2}\right),\left(q, q^{2}\right) \) and \( \left(r, r^{2}\right) \) is 4 , then the value of \( \left|\begin{array}{lll}(1+a p)^{2} & (1+b p)^{2} & (1+c p)^{2} \\ (1+a q)^{2} & (1+b q)^{2} & (1+c q)^{2} \\ (1+a r)^{2} & (1+b r)^{2} & (1+c r)^{2}\end{array}\right| \),
(A) 2
(B) 4
(C) 8
(D) 16
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-21 | If \( n^{\text {th }} \)-order square matrix \( A \) is a orthogonal, then
\( |\operatorname{adj.... |
| 2024-01-21 | Let \( D_{1}=\left|\begin{array}{ccc}a & b & a+b \\ c & d & c+d \\ a & b & a-b\end{array}\right|.... |
| 2024-01-21 | If the system of linear equations
\[
\begin{array}{l}
(\cos \theta) x+(\sin \theta) y+\cos \thet.... |
| 2024-01-21 | If \( \mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3}, 5,4, \mathrm{a}_{6}, \mathrm{a}_{7}, \math.... |
| 2024-01-21 | Let \( A \) be a \( 2 \times 2 \) matrix.
Assertion (A): \( \operatorname{adj}(\operatorname{adj.... |
| 2024-01-21 | Assertion (A): If every element of a third order determinant of value \( D \) is multiplied by 5.... |
| 2024-01-21 | Assertion (A): If the matrix \( A=\left[\begin{array}{ccc}1 & 3 & \lambda+2 \\ 2 & 4 & 8 \\ 3 & .... |
| 2024-01-21 | If \( \left|\begin{array}{ccc}x^{n} & x^{n+2} & x^{n+4} \\ y^{n} & y^{n+2} & y^{n+4} \\ z^{n} & .... |
| 2024-01-21 | If \( \Delta=\left|\begin{array}{ccc}1 & 3 \cos \theta & 1 \\ \sin \theta & 1 & 3 \cos \theta \\.... |
| 2024-01-21 | If \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are such that \( \mathrm{A}+\mathrm{B}+\mat.... |
| 2024-01-21 | Area of triangle whose vertices \( \left(a, a^{2}\right)\left(b, b^{2}\right)\left(c, c^{2}\righ.... |
| 2024-01-21 | If the system of equations
\[
\left.\begin{array}{l}
x-\lambda y-z=0 \\
\lambda x-y-z=0 \\
x+y-z.... |
| 2024-01-21 | Let \( \alpha, \beta \) be the roots of the equation \( \mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}=0.... |
| 2024-01-21 | Match the following
\begin{tabular}{|c|c|c|c|}
\hline & List -I & & List -II \\
\hline \multirow.... |
| 2024-01-21 | The value of \( \left|\begin{array}{ccc}-1 & 2 & 1 \\ 3+2 \sqrt{2} & 2+2 \sqrt{2} & 1 \\ 3-2 \sq.... |
| 2024-01-21 | The system of equations
\[
\begin{array}{l}
\mathrm{kx}+(\mathrm{k}+1) \mathrm{y}+(\mathrm{k}-1).... |
| 2024-01-21 | The determinant \( \left|\begin{array}{ccc}x p+y & x & y \\ y p+z & y & z \\ 0 & x p+y & y p+z\e.... |
| 2024-01-21 | If \( \left|a x^{2}+b x+c\right| \leq 1 \) for all \( x \) is \( [0,1] \) then.... |
| 2024-01-21 | If the system of equations
\[
\begin{array}{l}
x+2 y+2 z=1 \\
x-y+3 z=3 \\
x+11 y-z=b
\end{array.... |
| 2024-01-21 | Match the following
\begin{tabular}{|c|c|c|c|}
\hline & List -I & & List -II \\
\hline (A) & \( .... |
| 2024-01-21 | Let \( f(x)=\left|\begin{array}{ccc}1+\sin ^{2} x & \cos ^{2} x & 4 \sin 2 x \\ \sin ^{2} x & 1+.... |
0