Statement I The lines from the vertex to the two extremities of a focal chord of the parabola \(... VIDEO
Statement I The lines from the vertex to the two extremities of a focal chord of the parabola \( y^{2}=4 a x \) are perpendicular to each other.https://bit.ly/YTAI_PWAP https://www.pw.live
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Number of integral ... 2022-10-28 If roots of the equation \( x^{4}-12 x^{3}+c x^{2}+d x+81=0 \) are positive.
Root of the equatio... 2022-10-28 Let \( P \) be a point \( (1,0) \) and \( Q \) a point on the locus \( y^{2}=8 x \). The locus o... 2022-10-28 Let \( P Q \) be a focal chord of the parabola \( y^{2}=4 a x \). The tangent to the parabola at... 2022-10-28 The slope of the line touching the parabolas \( y^{2}=4 x \) and \( x^{2}=-32 y \) is
(a) \( 1 /... 2022-10-28 The equations of the common tangents to the parabolas \( y=x^{2} \) and \( y=-(x-2)^{2} \) is/ar... 2022-10-28 If \( \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+\hat{\mathbf{k}} \) bisects the angle between a and \(... 2022-10-28 Statement I Straight line \( x+y=\lambda \) touch the parabola \( y=x-x^{2} \), if \( k=1 \).
St... 2022-10-28 If \( 4 \hat{\mathbf{j}}+7 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+3 \hat{\mathb... 2022-10-28 Statement I The lines from the vertex to the two extremities of a focal chord of the parabola \(... 2022-10-28 Show that \( (b \times c) . a \times d)+(c \times a)(b \times d)+(a \times b)(c \times d)=0 \) 2022-10-28 A triangle \( A B C \) exists such that
(a) \( (b+c+a)(b+c-a)=5 b c \)
(b) the sides are of leng... 2022-10-28 Four non-zero vectors will always be
(a) linearly dependent
(b) linearly independent
(c) either ... 2022-10-28 Find a unit vector normal to the plane through the points \( (1,1,1),(-1,2,3) \) and \( (2,-1,3) \). 2022-10-28 The slope of the curve \( 2 y^{2}=a x^{2}+b \) at \( (1,-1) \) is \( -1 \). Then, \( (a-b) \) is... 2022-10-28 Consider the family of circles: \( x^{2}+y^{2}-3 x-4 y-c_{i}=0, c_{i} \in N \) \( (i=1,2,3, \ldo... 2022-10-28 Water runs into an inverted conical tent at the rate of \( 20 \mathrm{cu} \mathrm{ft} / \mathrm{... 2022-10-28 Let \( \alpha(a) \) and \( \beta(a) \) be the roots of the equation \( (\sqrt[3]{1+a}-1) x^{2}-(... 2022-10-28 If \( y=e^{x^{0^{x}}}+x^{a^{0^{x}}}+e^{x^{x^{0}}} \), then prove that
\[
\frac{d y}{d x}=e^{x^{e... 2022-10-28 This section is based on Statement. I and Statement II. Select the correct answer from the codes...
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