The vertex of the parabola whose parametric equation is \( x=t^{2}-t+1, y=t^{2}+t+1, t \in R \),... VIDEO
The vertex of the parabola whose parametric equation is \( x=t^{2}-t+1, y=t^{2}+t+1, t \in R \), is
W
(a) \( (1,1) \)
(b) \( (2,2) \)
(c) \( (3,3) \)
(d) \( \left(\frac{1}{2}, \frac{1}{2}\right) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2022-12-02 If \( e_{1} \) and \( e_{2} \) are the eccentricities of the conic sections \( 16 x^{2}+9 y^{2}=... 2022-12-02 If latusrectum of the ellipse \( x^{2} \tan ^{2} \alpha+y^{2} \sec ^{2} \alpha=1 \) is \( 1 / 2 ... 2022-12-02 If \( e \) and \( e_{1} \) are the eccentricities of the hyperbolas \( x y=c^{2} \) and \( x^{2}... 2022-12-02 The equation \( \frac{x^{2}}{10-\lambda}+\frac{y^{2}}{6-\lambda}=1 \) represents
(a) a hyperbola... 2022-12-02 If parabolas \( y^{2}=a x \) and \( 25\left[(x-3)^{2}+(y+2)^{2}\right]=(3 x-4 y-2)^{2} \) are eq... 2022-12-02 Find the locus of the mid-point of chords of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{... 2022-12-02 If two different tangents of \( y^{2}=4 x \) are the normals
\( \mathrm{P} \) to \( x^{2}=4 \) b... 2022-12-02 The set of points on the axis of the parabola \( y^{2}-4 x-2 y+5=0 \) from which all the three n... 2022-12-02 A line is drawn from \( A(-2,0) \) to intersect the curve
\( \mathrm{P} \) \( y^{2}=4 x \) at \(... 2022-12-02 If tangents \( P Q \) and \( P R \) are drawn from a point on the circle \( x^{2}+y^{2}=25 \) to... 2022-12-02 The vertex of the parabola whose parametric equation is \( x=t^{2}-t+1, y=t^{2}+t+1, t \in R \),... 2022-12-02 If \( a \neq 0 \) and the line \( 2 b x+3 c y+4 d=0 \) passes through the points of intersection... 2022-12-02 The slope of a chord of the parabola \( y^{2}=4 a x \) which is normal at one end and which subt... 2022-12-02 Let \( A \) and \( B \) be two points on a parabola \( y^{2}=x \) with vertex \( V \) such that ... 2022-12-02 \( A B C D \) and \( E F G C \) are squares and the curve \( y=\lambda \sqrt{x} \) passes throug... 2022-12-02 From the point \( P(-1,2) \) tangents are drawn to the parabola \( y^{2}=4 x \). Find the equati... 2022-12-02 If the normals at two points \( P \) and \( Q \) of a parabola \( y^{2}=4 a x \) intersect at a ... 2022-12-02 The normals at three points \( P, Q, R \) of the parabola \( y^{2}=4 a x \) meet in \( (h, k) \)... 2022-12-02 A chord of parabola \( y^{2}=4 \) ax subtends a right angle at the vertex. Find the locus of the... 2022-12-02 For narahnla \( x^{2}+y^{2}+2 x y-6 x-2 y+3=0 \), the focus is
(b) \( (-1,1) \)
(c) \( (3,1) \)
... 2022-12-02 Prove that any three tangents to a parabola whose slopes are in harmonic progression enclose a t...